subject:(Symplectic geometry)

University of Illinois – Urbana-Champaign

1. Wolbert, Seth P. Symplectic toric stratified spaces with isolated singularities.

Degree: PhD, Mathematics, 2017, University of Illinois – Urbana-Champaign

► We provide a classification of two types of toric objects: symplectic toric cones and symplectic toric stratified spaces with isolated singularities. Both types of object… (more)

▼ We provide a classification of two types of toric objects: symplectic toric cones and symplectic toric stratified spaces with isolated singularities. Both types of object are classified via orbital moment map and a second degree cohomology class. As symplectic toric stratified spaces with isolated singularities are locally modeled on symplectic toric cones, we first focus on classifying symplectic toric cones. We show that symplectic toric cones have a certain type of map (called homogeneous unimodular local embeddings) as orbital moment maps. Conversely, every homogeneous unimodular local embedding has a symplectic toric cone for which it is an orbital moment map. We classify the symplectic toric cones with the same orbital moment map by showing that their isomorphism classes are in bijective correspondence with the first Chern classes of principal G-bundles over W. This generalizes Lerman’s classification of compact connected contact toric manifolds. Symplectic toric stratified spaces with isolated singularities are spaces with neighborhoods of singularities modeled on symplectic cones. We first show their quotients W are space stratified by manifolds with corners and their moment maps are a particular type of map called stratified unimodular local embeddings. Every stratified unimodular local embedding is the orbital moment map of a symplectic toric stratified space. Finally, we show that, for any stratified unimodular local embedding, the isomorphism classes of symplectic toric stratified spaces with isolated singularities with a given orbital moment map are in bijective correspondence with a collection of cohomology classes dependent on the topology of W. This generalizes Burns, Guillemin, and Lerman’s classification of the compact connected symplectic toric stratified spaces with isolated singularities. Advisors/Committee Members: Lerman, Eugene (advisor), Tolman, Susan (Committee Chair), Loja Fernandes, Rui (committee member), Kerman, Ely (committee member).

Subjects/Keywords: Symplectic geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Wolbert, S. P. (2017). Symplectic toric stratified spaces with isolated singularities. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/98085

Chicago Manual of Style (16^th Edition):

Wolbert, Seth P. “Symplectic toric stratified spaces with isolated singularities.” 2017. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed December 12, 2019. http://hdl.handle.net/2142/98085.

MLA Handbook (7^th Edition):

Wolbert, Seth P. “Symplectic toric stratified spaces with isolated singularities.” 2017. Web. 12 Dec 2019.

Vancouver:

Wolbert SP. Symplectic toric stratified spaces with isolated singularities. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2017. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/2142/98085.

Council of Science Editors:

Wolbert SP. Symplectic toric stratified spaces with isolated singularities. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2017. Available from: http://hdl.handle.net/2142/98085

University of California – Berkeley

2. McMillan, Aaron Fraenkel. On Embedding Singular Poisson Spaces.

Degree: Mathematics, 2011, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/6xz306q4

► This dissertation investigates the problem of locally embedding singular Poisson spaces. Specifically, it seeks to understand when a singular symplectic quotient V/G of a symplectic… (more)

Subjects/Keywords: Mathematics; Poisson geometry; Symplectic geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

McMillan, A. F. (2011). On Embedding Singular Poisson Spaces. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/6xz306q4

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

McMillan, Aaron Fraenkel. “On Embedding Singular Poisson Spaces.” 2011. Thesis, University of California – Berkeley. Accessed December 12, 2019. http://www.escholarship.org/uc/item/6xz306q4.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

McMillan, Aaron Fraenkel. “On Embedding Singular Poisson Spaces.” 2011. Web. 12 Dec 2019.

Vancouver:

McMillan AF. On Embedding Singular Poisson Spaces. [Internet] [Thesis]. University of California – Berkeley; 2011. [cited 2019 Dec 12]. Available from: http://www.escholarship.org/uc/item/6xz306q4.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

McMillan AF. On Embedding Singular Poisson Spaces. [Thesis]. University of California – Berkeley; 2011. Available from: http://www.escholarship.org/uc/item/6xz306q4

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Rochester

3. Cho, Hyunjoo. Existence of almost contact structures on manifolds with G2-structures and generalizations.

Degree: PhD, 2012, University of Rochester

URL: http://hdl.handle.net/1802/21273

► This dissertation consists of two main results. First, we investigate the relationship between almost contact structures and G2-structures on seven-dimensional Riemannian manifolds: we show that… (more)

Subjects/Keywords: Differential geometry; Symplectic geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Cho, H. (2012). Existence of almost contact structures on manifolds with G2-structures and generalizations. (Doctoral Dissertation). University of Rochester. Retrieved from http://hdl.handle.net/1802/21273

Chicago Manual of Style (16^th Edition):

Cho, Hyunjoo. “Existence of almost contact structures on manifolds with G2-structures and generalizations.” 2012. Doctoral Dissertation, University of Rochester. Accessed December 12, 2019. http://hdl.handle.net/1802/21273.

MLA Handbook (7^th Edition):

Cho, Hyunjoo. “Existence of almost contact structures on manifolds with G2-structures and generalizations.” 2012. Web. 12 Dec 2019.

Vancouver:

Cho H. Existence of almost contact structures on manifolds with G2-structures and generalizations. [Internet] [Doctoral dissertation]. University of Rochester; 2012. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/1802/21273.

Council of Science Editors:

Cho H. Existence of almost contact structures on manifolds with G2-structures and generalizations. [Doctoral Dissertation]. University of Rochester; 2012. Available from: http://hdl.handle.net/1802/21273

Columbia University

4. Zhao, Jingyu. Periodic symplectic cohomologies and obstructions to exact Lagrangian immersions.

Degree: 2016, Columbia University

URL: https://doi.org/10.7916/D8V69JMZ

► Given a Liouville manifold, symplectic cohomology is defined as the Hamiltonian Floer homology for the symplectic action functional on the free loop space. In this… (more)

Subjects/Keywords: Symplectic geometry; Homology theory; Mathematics

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Zhao, J. (2016). Periodic symplectic cohomologies and obstructions to exact Lagrangian immersions. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/D8V69JMZ

Chicago Manual of Style (16^th Edition):

Zhao, Jingyu. “Periodic symplectic cohomologies and obstructions to exact Lagrangian immersions.” 2016. Doctoral Dissertation, Columbia University. Accessed December 12, 2019. https://doi.org/10.7916/D8V69JMZ.

MLA Handbook (7^th Edition):

Zhao, Jingyu. “Periodic symplectic cohomologies and obstructions to exact Lagrangian immersions.” 2016. Web. 12 Dec 2019.

Vancouver:

Zhao J. Periodic symplectic cohomologies and obstructions to exact Lagrangian immersions. [Internet] [Doctoral dissertation]. Columbia University; 2016. [cited 2019 Dec 12]. Available from: https://doi.org/10.7916/D8V69JMZ.

Council of Science Editors:

Zhao J. Periodic symplectic cohomologies and obstructions to exact Lagrangian immersions. [Doctoral Dissertation]. Columbia University; 2016. Available from: https://doi.org/10.7916/D8V69JMZ

ETH Zürich

5. Naef, Kathrin. Translated Points on Dynamically Convex Contact Manifolds.

Degree: 2018, ETH Zürich

URL: http://hdl.handle.net/20.500.11850/263960

Subjects/Keywords: Symplectic geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Naef, K. (2018). Translated Points on Dynamically Convex Contact Manifolds. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/263960

Chicago Manual of Style (16^th Edition):

Naef, Kathrin. “Translated Points on Dynamically Convex Contact Manifolds.” 2018. Doctoral Dissertation, ETH Zürich. Accessed December 12, 2019. http://hdl.handle.net/20.500.11850/263960.

MLA Handbook (7^th Edition):

Naef, Kathrin. “Translated Points on Dynamically Convex Contact Manifolds.” 2018. Web. 12 Dec 2019.

Vancouver:

Naef K. Translated Points on Dynamically Convex Contact Manifolds. [Internet] [Doctoral dissertation]. ETH Zürich; 2018. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/20.500.11850/263960.

Council of Science Editors:

Naef K. Translated Points on Dynamically Convex Contact Manifolds. [Doctoral Dissertation]. ETH Zürich; 2018. Available from: http://hdl.handle.net/20.500.11850/263960

Louisiana State University

6. Lambert-Cole, Peter. Invariants of Legendrian products.

Degree: PhD, Applied Mathematics, 2014, Louisiana State University

URL: etd-07142014-122759 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2909

This thesis investigates a construction in contact topology of Legendrian submanifolds called the Legendrian product. We investigate and compute invariants for these Legendrian submanifolds, including the Thurston-Bennequin invariant and Maslov class; Legendrian contact homology for the product of two Legendrian knots; and generating family homology.

Subjects/Keywords: low-dimensional topology; Contact geometry; symplectic geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Lambert-Cole, P. (2014). Invariants of Legendrian products. (Doctoral Dissertation). Louisiana State University. Retrieved from etd-07142014-122759 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2909

Chicago Manual of Style (16^th Edition):

Lambert-Cole, Peter. “Invariants of Legendrian products.” 2014. Doctoral Dissertation, Louisiana State University. Accessed December 12, 2019. etd-07142014-122759 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2909.

MLA Handbook (7^th Edition):

Lambert-Cole, Peter. “Invariants of Legendrian products.” 2014. Web. 12 Dec 2019.

Vancouver:

Lambert-Cole P. Invariants of Legendrian products. [Internet] [Doctoral dissertation]. Louisiana State University; 2014. [cited 2019 Dec 12]. Available from: etd-07142014-122759 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2909.

Council of Science Editors:

Lambert-Cole P. Invariants of Legendrian products. [Doctoral Dissertation]. Louisiana State University; 2014. Available from: etd-07142014-122759 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2909

Uppsala University

7. Iakovidis, Nikolaos. Geometry of Contact Toric Manifolds in 3D.

Degree: Theoretical Physics, 2016, Uppsala University

URL: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-296221

► In this project we present some applications of symplectic and contact geometry on 3-manifolds. In the first section we introduce the notion of symplectic… (more)

Subjects/Keywords: Symplectic Geometry; Contact Geometry; Lens spaces

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Iakovidis, N. (2016). Geometry of Contact Toric Manifolds in 3D. (Thesis). Uppsala University. Retrieved from http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-296221

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Iakovidis, Nikolaos. “Geometry of Contact Toric Manifolds in 3D.” 2016. Thesis, Uppsala University. Accessed December 12, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-296221.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Iakovidis, Nikolaos. “Geometry of Contact Toric Manifolds in 3D.” 2016. Web. 12 Dec 2019.

Vancouver:

Iakovidis N. Geometry of Contact Toric Manifolds in 3D. [Internet] [Thesis]. Uppsala University; 2016. [cited 2019 Dec 12]. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-296221.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Iakovidis N. Geometry of Contact Toric Manifolds in 3D. [Thesis]. Uppsala University; 2016. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-296221

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Toronto

8. Luk, Kevin. Moduli Space Techniques in Algebraic Geometry and Symplectic Geometry.

Degree: 2012, University of Toronto

URL: http://hdl.handle.net/1807/33298

►

The following is my M.Sc. thesis on moduli space techniques in algebraic and symplectic geometry. It is divided into the following two parts: the rst… (more)

Subjects/Keywords: Pure Mathematics; Algebraic Geometry; Symplectic Geometry; 0405

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Luk, K. (2012). Moduli Space Techniques in Algebraic Geometry and Symplectic Geometry. (Masters Thesis). University of Toronto. Retrieved from http://hdl.handle.net/1807/33298

Chicago Manual of Style (16^th Edition):

Luk, Kevin. “Moduli Space Techniques in Algebraic Geometry and Symplectic Geometry.” 2012. Masters Thesis, University of Toronto. Accessed December 12, 2019. http://hdl.handle.net/1807/33298.

MLA Handbook (7^th Edition):

Luk, Kevin. “Moduli Space Techniques in Algebraic Geometry and Symplectic Geometry.” 2012. Web. 12 Dec 2019.

Vancouver:

Luk K. Moduli Space Techniques in Algebraic Geometry and Symplectic Geometry. [Internet] [Masters thesis]. University of Toronto; 2012. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/1807/33298.

Council of Science Editors:

Luk K. Moduli Space Techniques in Algebraic Geometry and Symplectic Geometry. [Masters Thesis]. University of Toronto; 2012. Available from: http://hdl.handle.net/1807/33298

University of Cambridge

9. Kirchhoff-Lukat, Charlotte Sophie. Aspects of generalized geometry : branes with boundary, blow-ups, brackets and bundles.

Degree: PhD, 2018, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/283007 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.763570

► This thesis explores aspects of generalized geometry, a geometric framework introduced by Hitchin and Gualtieri in the early 2000s. In the first part, we introduce… (more)

▼ This thesis explores aspects of generalized geometry, a geometric framework introduced by Hitchin and Gualtieri in the early 2000s. In the first part, we introduce a new class of submanifolds in stable generalized complex manifolds, so-called Lagrangian branes with boundary. We establish a correspondence between stable generalized complex geometry and log symplectic geometry, which allows us to prove results on local neighbourhoods and small deformations of this new type of submanifold. We further investigate Lefschetz thimbles in stable generalized complex Lefschetz fibrations and show that Lagrangian branes with boundary arise in this context. Stable generalized complex geometry provides the simplest examples of generalized complex manifolds which are neither complex nor symplectic, but it is sufficiently similar to symplectic geometry for a multitude of symplectic results to generalize. Our results on Lefschetz thimbles in stable generalized complex geometry indicate that Lagrangian branes with boundary are part of a potential generalisation of the Wrapped Fukaya category to stable generalized complex manifolds. The work presented in this thesis should be seen as a first step towards the extension of Floer theory techniques to stable generalized complex geometry, which we hope to develop in future work. The second part of this thesis studies Dorfman brackets, a generalisation of the Courant- Dorfman bracket, within the framework of double vector bundles. We prove that every Dorfman bracket can be viewed as a restriction of the Courant-Dorfman bracket on the standard VB-Courant algebroid, which is in this sense universal. Dorfman brackets have previously not been considered in this context, but the results presented here are reminiscent of similar results on Lie and Dull algebroids: All three structures seem to fit into a more general duality between subspaces of sections of the standard VB-Courant algebroid and brackets on vector bundles of the form T M ⊕ E ∗ , E → M a vector bundle. We establish a correspondence between certain properties of the brackets on one, and the subspaces on the other side.

Subjects/Keywords: differential geometry; generalized complex geometry; Poisson geometry; symplectic geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Kirchhoff-Lukat, C. S. (2018). Aspects of generalized geometry : branes with boundary, blow-ups, brackets and bundles. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/283007 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.763570

Chicago Manual of Style (16^th Edition):

Kirchhoff-Lukat, Charlotte Sophie. “Aspects of generalized geometry : branes with boundary, blow-ups, brackets and bundles.” 2018. Doctoral Dissertation, University of Cambridge. Accessed December 12, 2019. https://www.repository.cam.ac.uk/handle/1810/283007 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.763570.

MLA Handbook (7^th Edition):

Kirchhoff-Lukat, Charlotte Sophie. “Aspects of generalized geometry : branes with boundary, blow-ups, brackets and bundles.” 2018. Web. 12 Dec 2019.

Vancouver:

Kirchhoff-Lukat CS. Aspects of generalized geometry : branes with boundary, blow-ups, brackets and bundles. [Internet] [Doctoral dissertation]. University of Cambridge; 2018. [cited 2019 Dec 12]. Available from: https://www.repository.cam.ac.uk/handle/1810/283007 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.763570.

Council of Science Editors:

Kirchhoff-Lukat CS. Aspects of generalized geometry : branes with boundary, blow-ups, brackets and bundles. [Doctoral Dissertation]. University of Cambridge; 2018. Available from: https://www.repository.cam.ac.uk/handle/1810/283007 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.763570

University of Colorado

10. Nita, Alexander. Essential Self-Adjointness of the Symplectic Dirac Operators.

Degree: PhD, Mathematics, 2016, University of Colorado

URL: http://scholar.colorado.edu/math_gradetds/45

► The main problem we consider in this thesis is the essential self-adjointness of the symplectic Dirac operators D and ~D constructed by Katharina Habermann… (more)

Subjects/Keywords: Dirac operator; functional analysis; self-adjointness; symplectic geometry; symplectic topology; Mathematics

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Nita, A. (2016). Essential Self-Adjointness of the Symplectic Dirac Operators. (Doctoral Dissertation). University of Colorado. Retrieved from http://scholar.colorado.edu/math_gradetds/45

Chicago Manual of Style (16^th Edition):

Nita, Alexander. “Essential Self-Adjointness of the Symplectic Dirac Operators.” 2016. Doctoral Dissertation, University of Colorado. Accessed December 12, 2019. http://scholar.colorado.edu/math_gradetds/45.

MLA Handbook (7^th Edition):

Nita, Alexander. “Essential Self-Adjointness of the Symplectic Dirac Operators.” 2016. Web. 12 Dec 2019.

Vancouver:

Nita A. Essential Self-Adjointness of the Symplectic Dirac Operators. [Internet] [Doctoral dissertation]. University of Colorado; 2016. [cited 2019 Dec 12]. Available from: http://scholar.colorado.edu/math_gradetds/45.

Council of Science Editors:

Nita A. Essential Self-Adjointness of the Symplectic Dirac Operators. [Doctoral Dissertation]. University of Colorado; 2016. Available from: http://scholar.colorado.edu/math_gradetds/45

University of Minnesota

11. Mak, Cheuk Yu. Rigidity of symplectic fillings, symplectic divisors and Dehn twist exact sequences.

Degree: PhD, Mathematics, 2016, University of Minnesota

URL: http://hdl.handle.net/11299/182326

► We present three different aspects of symplectic geometry in connection to complex geometry. Convex symplectic manifolds, symplectic divisors and Lagrangians are central objects to study… (more)

Subjects/Keywords: Dehn twists; Log Calabi-Yau surfaces; Symplectic fillings; Symplectic geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Mak, C. Y. (2016). Rigidity of symplectic fillings, symplectic divisors and Dehn twist exact sequences. (Doctoral Dissertation). University of Minnesota. Retrieved from http://hdl.handle.net/11299/182326

Chicago Manual of Style (16^th Edition):

Mak, Cheuk Yu. “Rigidity of symplectic fillings, symplectic divisors and Dehn twist exact sequences.” 2016. Doctoral Dissertation, University of Minnesota. Accessed December 12, 2019. http://hdl.handle.net/11299/182326.

MLA Handbook (7^th Edition):

Mak, Cheuk Yu. “Rigidity of symplectic fillings, symplectic divisors and Dehn twist exact sequences.” 2016. Web. 12 Dec 2019.

Vancouver:

Mak CY. Rigidity of symplectic fillings, symplectic divisors and Dehn twist exact sequences. [Internet] [Doctoral dissertation]. University of Minnesota; 2016. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/11299/182326.

Council of Science Editors:

Mak CY. Rigidity of symplectic fillings, symplectic divisors and Dehn twist exact sequences. [Doctoral Dissertation]. University of Minnesota; 2016. Available from: http://hdl.handle.net/11299/182326

Cornell University

12. Pendleton, Ian Alexander. The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds .

Degree: 2019, Cornell University

URL: http://hdl.handle.net/1813/67332

► This is a collection of algebraic topological results for toric origami manifolds, mostly in dimension 4. Using a known formula for the fundamental group of… (more)

Subjects/Keywords: algebraic topology; toric origami; toric symplectic; Mathematics; symplectic geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Pendleton, I. A. (2019). The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds . (Thesis). Cornell University. Retrieved from http://hdl.handle.net/1813/67332

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Pendleton, Ian Alexander. “The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds .” 2019. Thesis, Cornell University. Accessed December 12, 2019. http://hdl.handle.net/1813/67332.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Pendleton, Ian Alexander. “The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds .” 2019. Web. 12 Dec 2019.

Vancouver:

Pendleton IA. The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds . [Internet] [Thesis]. Cornell University; 2019. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/1813/67332.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Pendleton IA. The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds . [Thesis]. Cornell University; 2019. Available from: http://hdl.handle.net/1813/67332

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Cambridge

13. Benedetti, Gabriele. The contact property for magnetic flows on surfaces.

Degree: PhD, 2015, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/247157 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.642462

► This work investigates the dynamics of magnetic flows on closed orientable Riemannian surfaces. These flows are determined by triples (M, g, σ), where M is… (more)

▼ This work investigates the dynamics of magnetic flows on closed orientable Riemannian surfaces. These flows are determined by triples (M, g, σ), where M is the surface, g is the metric and σ is a 2-form on M . Such dynamical systems are described by the Hamiltonian equations of a function E on the tangent bundle TM endowed with a symplectic form ω_σ, where E is the kinetic energy. Our main goal is to prove existence results for a) periodic orbits, and b) Poincare sections for motions on a fixed energy level Σ_m := {E = m²/2} ⊂ T M . We tackle this problem by studying the contact geometry of the level set Σ_m . This will allow us to a) count periodic orbits using algebraic invariants such as the Symplectic Cohomology SH of the sublevels ({E ≤ m²/2}, ω_σ ); b) find Poincare sections starting from pseudo-holomorphic foliations, using the techniques developed by Hofer, Wysocki and Zehnder in 1998. In Chapter 3 we give a proof of the invariance of SH under deformation in an abstract setting, suitable for the applications. In Chapter 4 we present some new results on the energy values of contact type. First, we give explicit examples of exact magnetic systems on T² which are of contact type at the strict critical value. Then, we analyse the case of non-exact systems on M different from T² and prove that, for large m and for small m with symplectic σ, Σ_m is of contact type. Finally, we compute SH in all cases where Σ_m is convex. On the other hand, we are also interested in non-exact examples where the contact property fails. While for surfaces of genus at least two, there is always a level not of contact type for topological reasons, this is not true anymore for S² . In Chapter 5, after developing the theory of magnetic flows on surfaces of revolution, we exhibit the first example on S² of an energy level not of contact type. We also give a numerical algorithm to check the contact property when the level has positive magnetic curvature. In Chapter 7 we restrict the attention to low energy levels on S² with a symplectic σ and we show that these levels are of dynamically convex contact type. Hence, we prove that, in the non-degenerate case, there exists a Poincare section of disc-type and at least an elliptic periodic orbit. In the general case, we show that there are either 2 or infinitely many periodic orbits on Σ_m and that we can divide the periodic orbits in two distinguished classes, short and long, depending on their period. Then, we look at the case of surfaces of revolution, where we give a sufficient condition for the existence of infinitely many periodic orbits. Finally, we discuss a generalisation of dynamical convexity introduced recently by Abreu and Macarini, which applies also to surfaces with genus at least two.

Subjects/Keywords: 516.3; Magnetic flows; Symplectic geometry; Periodic orbits

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Benedetti, G. (2015). The contact property for magnetic flows on surfaces. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/247157 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.642462

Chicago Manual of Style (16^th Edition):

Benedetti, Gabriele. “The contact property for magnetic flows on surfaces.” 2015. Doctoral Dissertation, University of Cambridge. Accessed December 12, 2019. https://www.repository.cam.ac.uk/handle/1810/247157 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.642462.

MLA Handbook (7^th Edition):

Benedetti, Gabriele. “The contact property for magnetic flows on surfaces.” 2015. Web. 12 Dec 2019.

Vancouver:

Benedetti G. The contact property for magnetic flows on surfaces. [Internet] [Doctoral dissertation]. University of Cambridge; 2015. [cited 2019 Dec 12]. Available from: https://www.repository.cam.ac.uk/handle/1810/247157 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.642462.

Council of Science Editors:

Benedetti G. The contact property for magnetic flows on surfaces. [Doctoral Dissertation]. University of Cambridge; 2015. Available from: https://www.repository.cam.ac.uk/handle/1810/247157 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.642462

University of Cambridge

14. Benedetti, Gabriele. The contact property for magnetic flows on surfaces .

Degree: 2015, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/247157

► This work investigates the dynamics of magnetic flows on closed orientable Riemannian surfaces. These flows are determined by triples (M, g, σ), where M is… (more)

▼ This work investigates the dynamics of magnetic flows on closed orientable Riemannian surfaces. These flows are determined by triples (M, g, σ), where M is the surface, g is the metric and σ is a 2-form on M . Such dynamical systems are described by the Hamiltonian equations of a function E on the tangent bundle TM endowed with a symplectic form ω_σ, where E is the kinetic energy. Our main goal is to prove existence results for a) periodic orbits, and b) Poincare sections for motions on a fixed energy level Σ_m := {E = m²/2} ⊂ T M . We tackle this problem by studying the contact geometry of the level set Σ_m . This will allow us to a) count periodic orbits using algebraic invariants such as the Symplectic Cohomology SH of the sublevels ({E ≤ m²/2}, ω_σ ); b) find Poincare sections starting from pseudo-holomorphic foliations, using the techniques developed by Hofer, Wysocki and Zehnder in 1998. In Chapter 3 we give a proof of the invariance of SH under deformation in an abstract setting, suitable for the applications. In Chapter 4 we present some new results on the energy values of contact type. First, we give explicit examples of exact magnetic systems on T² which are of contact type at the strict critical value. Then, we analyse the case of non-exact systems on M different from T² and prove that, for large m and for small m with symplectic σ, Σ_m is of contact type. Finally, we compute SH in all cases where Σ_m is convex. On the other hand, we are also interested in non-exact examples where the contact property fails. While for surfaces of genus at least two, there is always a level not of contact type for topological reasons, this is not true anymore for S² . In Chapter 5, after developing the theory of magnetic flows on surfaces of revolution, we exhibit the first example on S² of an energy level not of contact type. We also give a numerical algorithm to check the contact property when the level has positive magnetic curvature. In Chapter 7 we restrict the attention to low energy levels on S² with a symplectic σ and we show that these levels are of dynamically convex contact type. Hence, we prove that, in the non-degenerate case, there exists a Poincare section of disc-type and at least an elliptic periodic orbit. In the general case, we show that there are either 2 or infinitely many periodic orbits on Σ_m and that we can divide the periodic orbits in two distinguished classes, short and long, depending on their period. Then, we look at the case of surfaces of revolution, where we give a sufficient condition for the existence of infinitely many periodic orbits. Finally, we discuss a generalisation of dynamical convexity introduced recently by Abreu and Macarini, which applies also to surfaces with genus at least two. Advisors/Committee Members: Paternain, Gabriel Pedro (advisor).

Subjects/Keywords: Magnetic flows; Symplectic geometry; Periodic orbits

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Benedetti, G. (2015). The contact property for magnetic flows on surfaces . (Thesis). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/247157

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Benedetti, Gabriele. “The contact property for magnetic flows on surfaces .” 2015. Thesis, University of Cambridge. Accessed December 12, 2019. https://www.repository.cam.ac.uk/handle/1810/247157.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Benedetti, Gabriele. “The contact property for magnetic flows on surfaces .” 2015. Web. 12 Dec 2019.

Vancouver:

Benedetti G. The contact property for magnetic flows on surfaces . [Internet] [Thesis]. University of Cambridge; 2015. [cited 2019 Dec 12]. Available from: https://www.repository.cam.ac.uk/handle/1810/247157.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Benedetti G. The contact property for magnetic flows on surfaces . [Thesis]. University of Cambridge; 2015. Available from: https://www.repository.cam.ac.uk/handle/1810/247157

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Oklahoma

15. Sunkula, Mahesh. GEOMETRIC QUANTIZATION OF A SEMI-GLOBAL MODEL OF A FOCUS-FOCUS SINGULARITY.

Degree: PhD, 2019, University of Oklahoma

URL: http://hdl.handle.net/11244/321110

► Quantization of a classical mechanical system is an old problem in physics. In classical mechanics, the evolution of the system is given by a Hamiltonian… (more)

Subjects/Keywords: Geometric Quantization; Symplectic Geometry; Mathematical Physics

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Sunkula, M. (2019). GEOMETRIC QUANTIZATION OF A SEMI-GLOBAL MODEL OF A FOCUS-FOCUS SINGULARITY. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/321110

Chicago Manual of Style (16^th Edition):

Sunkula, Mahesh. “GEOMETRIC QUANTIZATION OF A SEMI-GLOBAL MODEL OF A FOCUS-FOCUS SINGULARITY.” 2019. Doctoral Dissertation, University of Oklahoma. Accessed December 12, 2019. http://hdl.handle.net/11244/321110.

MLA Handbook (7^th Edition):

Sunkula, Mahesh. “GEOMETRIC QUANTIZATION OF A SEMI-GLOBAL MODEL OF A FOCUS-FOCUS SINGULARITY.” 2019. Web. 12 Dec 2019.

Vancouver:

Sunkula M. GEOMETRIC QUANTIZATION OF A SEMI-GLOBAL MODEL OF A FOCUS-FOCUS SINGULARITY. [Internet] [Doctoral dissertation]. University of Oklahoma; 2019. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/11244/321110.

Council of Science Editors:

Sunkula M. GEOMETRIC QUANTIZATION OF A SEMI-GLOBAL MODEL OF A FOCUS-FOCUS SINGULARITY. [Doctoral Dissertation]. University of Oklahoma; 2019. Available from: http://hdl.handle.net/11244/321110

University of Southern California

16. Avdek, Russell. Contact surgery, open books, and symplectic cobordisms.

Degree: PhD, Mathematics, 2013, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/304150/rec/1611

► In this thesis, we study contact manifolds and symplectic cobordisms between them using open book decompositions and various types of symplectic handle attachment. In the… (more)

Subjects/Keywords: contact geometry; symplectic geometry; contact surgery; Weinstein handle; symplectic cobordism; open book; monodromy; Dehn twist

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Avdek, R. (2013). Contact surgery, open books, and symplectic cobordisms. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/304150/rec/1611

Chicago Manual of Style (16^th Edition):

Avdek, Russell. “Contact surgery, open books, and symplectic cobordisms.” 2013. Doctoral Dissertation, University of Southern California. Accessed December 12, 2019. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/304150/rec/1611.

MLA Handbook (7^th Edition):

Avdek, Russell. “Contact surgery, open books, and symplectic cobordisms.” 2013. Web. 12 Dec 2019.

Vancouver:

Avdek R. Contact surgery, open books, and symplectic cobordisms. [Internet] [Doctoral dissertation]. University of Southern California; 2013. [cited 2019 Dec 12]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/304150/rec/1611.

Council of Science Editors:

Avdek R. Contact surgery, open books, and symplectic cobordisms. [Doctoral Dissertation]. University of Southern California; 2013. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/304150/rec/1611

Universiteit Utrecht

17. Tel, A.W. Lefschetz fibrations and symplectic structures.

Degree: 2015, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/311281

► In this thesis, we study a relation between symplectic structures and Lefschetz ?brations to shed some light on 4-manifold theory. We introduce symplectic manifolds and… (more)

Subjects/Keywords: Lefschetz fibration; Lefschetz pencil; symplectic geometry; fiber bundle; complex geometry; compatibility

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Tel, A. W. (2015). Lefschetz fibrations and symplectic structures. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/311281

Chicago Manual of Style (16^th Edition):

Tel, A W. “Lefschetz fibrations and symplectic structures.” 2015. Masters Thesis, Universiteit Utrecht. Accessed December 12, 2019. http://dspace.library.uu.nl:8080/handle/1874/311281.

MLA Handbook (7^th Edition):

Tel, A W. “Lefschetz fibrations and symplectic structures.” 2015. Web. 12 Dec 2019.

Vancouver:

Tel AW. Lefschetz fibrations and symplectic structures. [Internet] [Masters thesis]. Universiteit Utrecht; 2015. [cited 2019 Dec 12]. Available from: http://dspace.library.uu.nl:8080/handle/1874/311281.

Council of Science Editors:

Tel AW. Lefschetz fibrations and symplectic structures. [Masters Thesis]. Universiteit Utrecht; 2015. Available from: http://dspace.library.uu.nl:8080/handle/1874/311281

University of California – Berkeley

18. Canez, Santiago Valencia. Double Groupoids, Orbifolds, and the Symplectic Category.

Degree: Mathematics, 2011, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/7df5f00t

► Motivated by an attempt to better understand the notion of a symplectic stack, we introduce the notion of a \emph{symplectic hopfoid}, which should be thought… (more)

Subjects/Keywords: Mathematics; category theory; differential geometry; groupoids; orbifolds; stacks; symplectic geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Canez, S. V. (2011). Double Groupoids, Orbifolds, and the Symplectic Category. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/7df5f00t

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Canez, Santiago Valencia. “Double Groupoids, Orbifolds, and the Symplectic Category.” 2011. Thesis, University of California – Berkeley. Accessed December 12, 2019. http://www.escholarship.org/uc/item/7df5f00t.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Canez, Santiago Valencia. “Double Groupoids, Orbifolds, and the Symplectic Category.” 2011. Web. 12 Dec 2019.

Vancouver:

Canez SV. Double Groupoids, Orbifolds, and the Symplectic Category. [Internet] [Thesis]. University of California – Berkeley; 2011. [cited 2019 Dec 12]. Available from: http://www.escholarship.org/uc/item/7df5f00t.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Canez SV. Double Groupoids, Orbifolds, and the Symplectic Category. [Thesis]. University of California – Berkeley; 2011. Available from: http://www.escholarship.org/uc/item/7df5f00t

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California – Berkeley

19. Brown, Jeffrey Steven. Gromov – Witten Invariants of Toric Fibrations.

Degree: Mathematics, 2009, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/38b8b8q5

► We prove a conjecture of Artur Elezi in a generalized form suggested by Givental. Namely, our main result relates genus-0 Gromov – Witten invariants of a… (more)

Subjects/Keywords: Mathematics; Gromov – Witten Invariant; Symplectic Geometry; Algebraic Geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Brown, J. S. (2009). Gromov – Witten Invariants of Toric Fibrations. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/38b8b8q5

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Brown, Jeffrey Steven. “Gromov – Witten Invariants of Toric Fibrations.” 2009. Thesis, University of California – Berkeley. Accessed December 12, 2019. http://www.escholarship.org/uc/item/38b8b8q5.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Brown, Jeffrey Steven. “Gromov – Witten Invariants of Toric Fibrations.” 2009. Web. 12 Dec 2019.

Vancouver:

Brown JS. Gromov – Witten Invariants of Toric Fibrations. [Internet] [Thesis]. University of California – Berkeley; 2009. [cited 2019 Dec 12]. Available from: http://www.escholarship.org/uc/item/38b8b8q5.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Brown JS. Gromov – Witten Invariants of Toric Fibrations. [Thesis]. University of California – Berkeley; 2009. Available from: http://www.escholarship.org/uc/item/38b8b8q5

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

20. Lanius, Melinda Dawn. Generically nondegenerate Poisson structures and their Lie algebroids.

Degree: PhD, Mathematics, 2018, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/101536

► In this dissertation, generically nondegenerate Poisson manifolds are studied by lifting them to a Lie algebroid where they can be understood as nondegenerate. This allows… (more)

Subjects/Keywords: Poisson geometry; symplectic geometry

…1.1 Poisson and symplectic geometry A Poisson manifold (M, π) is a manifold M… …tools of symplectic geometry to the Lie algebroid. Moser. We use the standard Moser… …which we have hope of applying standard techniques of symplectic geometry. 2.2.1 Lie… …hypersurfaces), we can adapt the standard Moser technique of symplectic geometry to establish… …a symplectic one and allow us to view the Poisson structure as non-degenerate. The second…

10 more images…

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Lanius, M. D. (2018). Generically nondegenerate Poisson structures and their Lie algebroids. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/101536

Chicago Manual of Style (16^th Edition):

Lanius, Melinda Dawn. “Generically nondegenerate Poisson structures and their Lie algebroids.” 2018. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed December 12, 2019. http://hdl.handle.net/2142/101536.

MLA Handbook (7^th Edition):

Lanius, Melinda Dawn. “Generically nondegenerate Poisson structures and their Lie algebroids.” 2018. Web. 12 Dec 2019.

Vancouver:

Lanius MD. Generically nondegenerate Poisson structures and their Lie algebroids. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2018. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/2142/101536.

Council of Science Editors:

Lanius MD. Generically nondegenerate Poisson structures and their Lie algebroids. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2018. Available from: http://hdl.handle.net/2142/101536

21. Blacker, Casey Alexander. The Moduli Space of Flat Connections over Higher Dimensional Manifolds.

Degree: 2018, University of California – eScholarship, University of California

URL: http://www.escholarship.org/uc/item/0535z0rb

► Let M be a smooth manifold of dimension at least 3, let G be a compact Lie group, and let P be a G-principal bundle… (more)

Subjects/Keywords: Mathematics; differential geometry; gauge theory; moment maps; symplectic geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Blacker, C. A. (2018). The Moduli Space of Flat Connections over Higher Dimensional Manifolds. (Thesis). University of California – eScholarship, University of California. Retrieved from http://www.escholarship.org/uc/item/0535z0rb

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Blacker, Casey Alexander. “The Moduli Space of Flat Connections over Higher Dimensional Manifolds.” 2018. Thesis, University of California – eScholarship, University of California. Accessed December 12, 2019. http://www.escholarship.org/uc/item/0535z0rb.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Blacker, Casey Alexander. “The Moduli Space of Flat Connections over Higher Dimensional Manifolds.” 2018. Web. 12 Dec 2019.

Vancouver:

Blacker CA. The Moduli Space of Flat Connections over Higher Dimensional Manifolds. [Internet] [Thesis]. University of California – eScholarship, University of California; 2018. [cited 2019 Dec 12]. Available from: http://www.escholarship.org/uc/item/0535z0rb.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Blacker CA. The Moduli Space of Flat Connections over Higher Dimensional Manifolds. [Thesis]. University of California – eScholarship, University of California; 2018. Available from: http://www.escholarship.org/uc/item/0535z0rb

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Université Catholique de Louvain

22. Voglaire, Yannick. Quantization of solvable symplectic symmetric spaces.

Degree: 2011, Université Catholique de Louvain

URL: http://hdl.handle.net/2078.1/106799

►

Geometry and physics have a long history of mutual interactions. Among those interactions coming from quantum mechanics, the early “Weyl quantization” of the phase space… (more)

▼

Geometry and physics have a long history of mutual interactions. Among those interactions coming from quantum mechanics, the early “Weyl quantization” of the phase space observables paved the way for the understanding of some deep relations between Poisson geometry and quantum algebras. As two outgrowths, of prime importance in the last decades were the Moyal and Weyl products, respectively in formal and non-formal deformation quantization. The notion of a midpoint of two given points appears naturally in the Weyl quantization and product, suggesting to consider symplectic symmetric spaces with midpoint map. A basic conjecture of Weinstein in this context relates the associativity of non-formal products of functions with the symplectic area of so-called “double triangles”. The aim of this thesis is to improve the understanding of the structure of solvable symplectic symmetric spaces and to provide the necessary tools for an inductive construction of quantizations of these spaces satisfying the above conjecture. For a general symmetric space, we relate the existence of a midpoint map to the existence and uniqueness of geodesics joining two points, and characterize the symmetric spaces for which each triangle has a unique double triangle. We introduce symplectic reduction and double extension for symplectic symmetric spaces, and uncover a “primitive structure” canonically attached to any such space, allowing the construction of T-star extensions à la Bordemann. We then study the behaviour of the main ingredient in our proposed quantization procedure, the Severa projection, under the above-mentioned operations. We end the thesis by providing explicit computations for a new class of examples yielding in particular new universal deformation formulæ for the actions of some symplectic Lie groups on Fréchet algebras.

(MATH 3) – UCL, 2011

Advisors/Committee Members: UCL - SST/IRMP/IRMP - Institut de recherche en mathématique et physique, Bieliavsky, Pierre, Pevzner, Michael, Félix, Yves, Gayral, Victor, Maeda, Yoshiaki, Xu, Ping.

Subjects/Keywords: Quantization; Symplectic geometry; Symmetric spaces; Lie theory; Symplectic reduction; Double extension; Midpoint map

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Voglaire, Y. (2011). Quantization of solvable symplectic symmetric spaces. (Thesis). Université Catholique de Louvain. Retrieved from http://hdl.handle.net/2078.1/106799

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Voglaire, Yannick. “Quantization of solvable symplectic symmetric spaces.” 2011. Thesis, Université Catholique de Louvain. Accessed December 12, 2019. http://hdl.handle.net/2078.1/106799.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Voglaire, Yannick. “Quantization of solvable symplectic symmetric spaces.” 2011. Web. 12 Dec 2019.

Vancouver:

Voglaire Y. Quantization of solvable symplectic symmetric spaces. [Internet] [Thesis]. Université Catholique de Louvain; 2011. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/2078.1/106799.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Voglaire Y. Quantization of solvable symplectic symmetric spaces. [Thesis]. Université Catholique de Louvain; 2011. Available from: http://hdl.handle.net/2078.1/106799

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Cornell University

23. Huynh, My Thanh. The Gromov Width of Symplectic Cuts of Symplectic Manifolds .

Degree: 2018, Cornell University

URL: http://hdl.handle.net/1813/59394

► In 1985, Gromov discovered a rigidity phenonmenon for symplectic embeddings which led to the concept of Gromov width: a measure of the largest ball that… (more)

Subjects/Keywords: grassmannian; gromov width; pseudoholomorphic curves; symplectic cut; symplectic geometry; toric variety; Mathematics

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Huynh, M. T. (2018). The Gromov Width of Symplectic Cuts of Symplectic Manifolds . (Thesis). Cornell University. Retrieved from http://hdl.handle.net/1813/59394

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Huynh, My Thanh. “The Gromov Width of Symplectic Cuts of Symplectic Manifolds .” 2018. Thesis, Cornell University. Accessed December 12, 2019. http://hdl.handle.net/1813/59394.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Huynh, My Thanh. “The Gromov Width of Symplectic Cuts of Symplectic Manifolds .” 2018. Web. 12 Dec 2019.

Vancouver:

Huynh MT. The Gromov Width of Symplectic Cuts of Symplectic Manifolds . [Internet] [Thesis]. Cornell University; 2018. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/1813/59394.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Huynh MT. The Gromov Width of Symplectic Cuts of Symplectic Manifolds . [Thesis]. Cornell University; 2018. Available from: http://hdl.handle.net/1813/59394

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Colorado State University

24. Eddy, Thomas D. Improved stick number upper bounds.

Degree: MS(M.S.), Mathematics, 2019, Colorado State University

URL: http://hdl.handle.net/10217/195411

► A stick knot is a mathematical knot formed by a chain of straight line segments. For a knot K, define the stick number of K,… (more)

Subjects/Keywords: knot theory; stick number; toric symplectic manifold; polygon index; edge number; symplectic geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Eddy, T. D. (2019). Improved stick number upper bounds. (Masters Thesis). Colorado State University. Retrieved from http://hdl.handle.net/10217/195411

Chicago Manual of Style (16^th Edition):

Eddy, Thomas D. “Improved stick number upper bounds.” 2019. Masters Thesis, Colorado State University. Accessed December 12, 2019. http://hdl.handle.net/10217/195411.

MLA Handbook (7^th Edition):

Eddy, Thomas D. “Improved stick number upper bounds.” 2019. Web. 12 Dec 2019.

Vancouver:

Eddy TD. Improved stick number upper bounds. [Internet] [Masters thesis]. Colorado State University; 2019. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/10217/195411.

Council of Science Editors:

Eddy TD. Improved stick number upper bounds. [Masters Thesis]. Colorado State University; 2019. Available from: http://hdl.handle.net/10217/195411

University of Oxford

25. Roeser, Markus Karl. The ASD equations in split signature and hypersymplectic geometry.

Degree: PhD, 2012, University of Oxford

URL: http://ora.ox.ac.uk/objects/uuid:7d46ffc8-6d12-4fec-9450-13d2c726885c ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581122

► This thesis is mainly concerned with the study of hypersymplectic structures in gauge theory. These structures arise via applications of the hypersymplectic quotient construction to… (more)

Subjects/Keywords: 530.1435; Differential geometry; Hypersymplectic Geometry; Gauge Theory; Symplectic Geometry; Moduli Space; Moment Map; special Holonomy

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Roeser, M. K. (2012). The ASD equations in split signature and hypersymplectic geometry. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:7d46ffc8-6d12-4fec-9450-13d2c726885c ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581122

Chicago Manual of Style (16^th Edition):

Roeser, Markus Karl. “The ASD equations in split signature and hypersymplectic geometry.” 2012. Doctoral Dissertation, University of Oxford. Accessed December 12, 2019. http://ora.ox.ac.uk/objects/uuid:7d46ffc8-6d12-4fec-9450-13d2c726885c ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581122.

MLA Handbook (7^th Edition):

Roeser, Markus Karl. “The ASD equations in split signature and hypersymplectic geometry.” 2012. Web. 12 Dec 2019.

Vancouver:

Roeser MK. The ASD equations in split signature and hypersymplectic geometry. [Internet] [Doctoral dissertation]. University of Oxford; 2012. [cited 2019 Dec 12]. Available from: http://ora.ox.ac.uk/objects/uuid:7d46ffc8-6d12-4fec-9450-13d2c726885c ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581122.

Council of Science Editors:

Roeser MK. The ASD equations in split signature and hypersymplectic geometry. [Doctoral Dissertation]. University of Oxford; 2012. Available from: http://ora.ox.ac.uk/objects/uuid:7d46ffc8-6d12-4fec-9450-13d2c726885c ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581122

26. Osorno Torres, B. Codimension-one Symplectic Foliations : Constructions and Examples.

Degree: 2015, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/323294

► This thesis addresses the question: which compact manifolds admit codimension-one symplectic foliations? It develops a method to construct such symplectic foliations on compact manifolds, called… (more)

Subjects/Keywords: Symplectic foliations; Poisson geometry; Symplectic geometry; Foliations

…95 95 98 100 103 7 Deformations of Log-symplectic Structures 111 7.1 B-geometry… …geometry, e.g., in the study of four-manifolds. Symplectic foliations are also relevant from the… …geometry, the problem of existence of symplectic foliations is very different in closed manifolds… …geometry and Lie algebroids. A Poisson structure on a manifold is a generalised symplectic… …foliation and therefore Poisson geometry provides a natural framework to study symplectic…

11 more images…

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Osorno Torres, B. (2015). Codimension-one Symplectic Foliations : Constructions and Examples. (Doctoral Dissertation). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/323294

Chicago Manual of Style (16^th Edition):

Osorno Torres, B. “Codimension-one Symplectic Foliations : Constructions and Examples.” 2015. Doctoral Dissertation, Universiteit Utrecht. Accessed December 12, 2019. http://dspace.library.uu.nl:8080/handle/1874/323294.

MLA Handbook (7^th Edition):

Osorno Torres, B. “Codimension-one Symplectic Foliations : Constructions and Examples.” 2015. Web. 12 Dec 2019.

Vancouver:

Osorno Torres B. Codimension-one Symplectic Foliations : Constructions and Examples. [Internet] [Doctoral dissertation]. Universiteit Utrecht; 2015. [cited 2019 Dec 12]. Available from: http://dspace.library.uu.nl:8080/handle/1874/323294.

Council of Science Editors:

Osorno Torres B. Codimension-one Symplectic Foliations : Constructions and Examples. [Doctoral Dissertation]. Universiteit Utrecht; 2015. Available from: http://dspace.library.uu.nl:8080/handle/1874/323294

27. Osorno Torres, B. Codimension-one Symplectic Foliations : Constructions and Examples.

Degree: 2015, University Utrecht

URL: http://dspace.library.uu.nl/handle/1874/323294 ; URN:NBN:NL:UI:10-1874-323294 ; urn:isbn:978-90-393-6409-3 ; URN:NBN:NL:UI:10-1874-323294 ; http://dspace.library.uu.nl/handle/1874/323294

► This thesis addresses the question: which compact manifolds admit codimension-one symplectic foliations? It develops a method to construct such symplectic foliations on compact manifolds, called… (more)

Subjects/Keywords: Symplectic foliations; Poisson geometry; Symplectic geometry; Foliations

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Osorno Torres, B. (2015). Codimension-one Symplectic Foliations : Constructions and Examples. (Doctoral Dissertation). University Utrecht. Retrieved from http://dspace.library.uu.nl/handle/1874/323294 ; URN:NBN:NL:UI:10-1874-323294 ; urn:isbn:978-90-393-6409-3 ; URN:NBN:NL:UI:10-1874-323294 ; http://dspace.library.uu.nl/handle/1874/323294

Chicago Manual of Style (16^th Edition):

Osorno Torres, B. “Codimension-one Symplectic Foliations : Constructions and Examples.” 2015. Doctoral Dissertation, University Utrecht. Accessed December 12, 2019. http://dspace.library.uu.nl/handle/1874/323294 ; URN:NBN:NL:UI:10-1874-323294 ; urn:isbn:978-90-393-6409-3 ; URN:NBN:NL:UI:10-1874-323294 ; http://dspace.library.uu.nl/handle/1874/323294.

MLA Handbook (7^th Edition):

Osorno Torres, B. “Codimension-one Symplectic Foliations : Constructions and Examples.” 2015. Web. 12 Dec 2019.

Vancouver:

Osorno Torres B. Codimension-one Symplectic Foliations : Constructions and Examples. [Internet] [Doctoral dissertation]. University Utrecht; 2015. [cited 2019 Dec 12]. Available from: http://dspace.library.uu.nl/handle/1874/323294 ; URN:NBN:NL:UI:10-1874-323294 ; urn:isbn:978-90-393-6409-3 ; URN:NBN:NL:UI:10-1874-323294 ; http://dspace.library.uu.nl/handle/1874/323294.

Council of Science Editors:

Osorno Torres B. Codimension-one Symplectic Foliations : Constructions and Examples. [Doctoral Dissertation]. University Utrecht; 2015. Available from: http://dspace.library.uu.nl/handle/1874/323294 ; URN:NBN:NL:UI:10-1874-323294 ; urn:isbn:978-90-393-6409-3 ; URN:NBN:NL:UI:10-1874-323294 ; http://dspace.library.uu.nl/handle/1874/323294

Indian Institute of Science

28. Kulkarni, Dheeraj. Relative Symplectic Caps, Fibered Knots And 4-Genus.

Degree: 2012, Indian Institute of Science

URL: http://hdl.handle.net/2005/2285

► The 4-genus of a knot in S3 is an important measure of complexity, related to the unknotting number. A fundamental result used to study the… (more)

Subjects/Keywords: Symplectic Geometry; Symplectic Capping Theorem; Symlpectic Manifolds; Fibered Knots; 4-Genus Knots; Symplectic Caps; Knot Theory; Contact Geometry; Contact Manifolds; Quasipositive Knots; Symplectic Convexity; Topology; Symplectic Neighborhood Theorem; Seifert Surfaces; Riemann Surface; Geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Kulkarni, D. (2012). Relative Symplectic Caps, Fibered Knots And 4-Genus. (Thesis). Indian Institute of Science. Retrieved from http://hdl.handle.net/2005/2285

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Kulkarni, Dheeraj. “Relative Symplectic Caps, Fibered Knots And 4-Genus.” 2012. Thesis, Indian Institute of Science. Accessed December 12, 2019. http://hdl.handle.net/2005/2285.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Kulkarni, Dheeraj. “Relative Symplectic Caps, Fibered Knots And 4-Genus.” 2012. Web. 12 Dec 2019.

Vancouver:

Kulkarni D. Relative Symplectic Caps, Fibered Knots And 4-Genus. [Internet] [Thesis]. Indian Institute of Science; 2012. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/2005/2285.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kulkarni D. Relative Symplectic Caps, Fibered Knots And 4-Genus. [Thesis]. Indian Institute of Science; 2012. Available from: http://hdl.handle.net/2005/2285

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Indian Institute of Science

29. Kulkarni, Dheeraj. Relative Symplectic Caps, Fibered Knots And 4-Genus.

Degree: 2012, Indian Institute of Science

URL: http://etd.iisc.ernet.in/handle/2005/2285 ; http://etd.ncsi.iisc.ernet.in/abstracts/2943/G25244-Abs.pdf

► The 4-genus of a knot in S3 is an important measure of complexity, related to the unknotting number. A fundamental result used to study the… (more)

Subjects/Keywords: Symplectic Geometry; Symplectic Capping Theorem; Symlpectic Manifolds; Fibered Knots; 4-Genus Knots; Symplectic Caps; Knot Theory; Contact Geometry; Contact Manifolds; Quasipositive Knots; Symplectic Convexity; Topology; Symplectic Neighborhood Theorem; Seifert Surfaces; Riemann Surface; Geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Kulkarni, D. (2012). Relative Symplectic Caps, Fibered Knots And 4-Genus. (Thesis). Indian Institute of Science. Retrieved from http://etd.iisc.ernet.in/handle/2005/2285 ; http://etd.ncsi.iisc.ernet.in/abstracts/2943/G25244-Abs.pdf

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Kulkarni, Dheeraj. “Relative Symplectic Caps, Fibered Knots And 4-Genus.” 2012. Thesis, Indian Institute of Science. Accessed December 12, 2019. http://etd.iisc.ernet.in/handle/2005/2285 ; http://etd.ncsi.iisc.ernet.in/abstracts/2943/G25244-Abs.pdf.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Kulkarni, Dheeraj. “Relative Symplectic Caps, Fibered Knots And 4-Genus.” 2012. Web. 12 Dec 2019.

Vancouver:

Kulkarni D. Relative Symplectic Caps, Fibered Knots And 4-Genus. [Internet] [Thesis]. Indian Institute of Science; 2012. [cited 2019 Dec 12]. Available from: http://etd.iisc.ernet.in/handle/2005/2285 ; http://etd.ncsi.iisc.ernet.in/abstracts/2943/G25244-Abs.pdf.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kulkarni D. Relative Symplectic Caps, Fibered Knots And 4-Genus. [Thesis]. Indian Institute of Science; 2012. Available from: http://etd.iisc.ernet.in/handle/2005/2285 ; http://etd.ncsi.iisc.ernet.in/abstracts/2943/G25244-Abs.pdf

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California – San Diego

30. Palmer, Joseph. Symplectic invariants and moduli spaces of integrable systems.

Degree: Mathematics, 2016, University of California – San Diego

URL: http://www.escholarship.org/uc/item/8fm2b234

► In this dissertation I prove a number of results about the symplectic geometry of finite dimensional integrable Hamiltonian systems, especially those of semitoric type. Integrable… (more)

▼ In this dissertation I prove a number of results about the symplectic geometry of finite dimensional integrable Hamiltonian systems, especially those of semitoric type. Integrable systems are, roughly, dynamical systems with the maximal amount of conserved quantities. Though the study of integrable systems goes back hundreds of years, the earliest general result in this field is the action-angle theorem of Arnold in 1963, which was later extended to a global version by Duistermaat. The results of Atiyah, Guillemin-Sternberg, and Delzant in the 1980s classified toric integrable systems, which are those produced by effective Hamiltonian torus actions. Recently, Pelayo-Vu Ngoc classified semitoric integrable systems, which generalize toric systems in dimension four, in terms of five symplectic invariants. Using this classification, I construct a metric on the space of semitoric integrable systems. To study continuous paths in this space produced via symplectic semitoric blowups, I introduce an algebraic technique to study such systems by lifting matrix equations from the special linear group SL(2,Z) to its preimage in the universal cover of SL(2,R). With this method I determine the connected components of the space of semitoric integrable systems. Motivated by this algebraic technique, I introduce the notion of a semitoric helix; the natural combinatorial invariant of semitoric systems. By applying a refined version of the algebraic method to semitoric helixes I classify all possible minimal semitoric integrable systems, which are those that do not admit a symplectic semitoric blowdown. I also produce invariants of integrable systems designed to respect the natural symmetries of such systems, especially toric and semitoric ones. For any Lie group G, I construct a G-equivariant analogue of the Ekeland-Hofer symplectic capacities. I give examples when the capacity is an invariant of integrable systems, and I study the continuity of these capacities using the metric I defined on semitoric systems. Finally, as a first step towards constructing a meaningful metric on general integrable systems, I provide a framework to study convergence properties of families of maps between manifolds which have distinct domains by defining a metric on such a collection.

Subjects/Keywords: Mathematics; integrable systems; minimal models; semitoric systems; symplectic geometry; sympletic capacities; toric geometry

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Palmer, J. (2016). Symplectic invariants and moduli spaces of integrable systems. (Thesis). University of California – San Diego. Retrieved from http://www.escholarship.org/uc/item/8fm2b234

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Palmer, Joseph. “Symplectic invariants and moduli spaces of integrable systems.” 2016. Thesis, University of California – San Diego. Accessed December 12, 2019. http://www.escholarship.org/uc/item/8fm2b234.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Palmer, Joseph. “Symplectic invariants and moduli spaces of integrable systems.” 2016. Web. 12 Dec 2019.

Vancouver:

Palmer J. Symplectic invariants and moduli spaces of integrable systems. [Internet] [Thesis]. University of California – San Diego; 2016. [cited 2019 Dec 12]. Available from: http://www.escholarship.org/uc/item/8fm2b234.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Palmer J. Symplectic invariants and moduli spaces of integrable systems. [Thesis]. University of California – San Diego; 2016. Available from: http://www.escholarship.org/uc/item/8fm2b234

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Open Access Theses and Dissertations