subject:(symplectic manifolds)

Rutgers University

1. Schultz, Douglas, 1986-. Lagrangian Floer theory in symplectic fibrations.

Degree: PhD, Mathematics, 2016, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/55679/

►

Consider a fibration of compact symplectic manifolds F → E → B with a compatible symplectic form on E, and an induced fibration of Lagrangian… (more)

Subjects/Keywords: Symplectic manifolds

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Schultz, Douglas, 1. (2016). Lagrangian Floer theory in symplectic fibrations. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/55679/

Chicago Manual of Style (16^th Edition):

Schultz, Douglas, 1986-. “Lagrangian Floer theory in symplectic fibrations.” 2016. Doctoral Dissertation, Rutgers University. Accessed January 18, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/55679/.

MLA Handbook (7^th Edition):

Schultz, Douglas, 1986-. “Lagrangian Floer theory in symplectic fibrations.” 2016. Web. 18 Jan 2021.

Vancouver:

Schultz, Douglas 1. Lagrangian Floer theory in symplectic fibrations. [Internet] [Doctoral dissertation]. Rutgers University; 2016. [cited 2021 Jan 18]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/55679/.

Council of Science Editors:

Schultz, Douglas 1. Lagrangian Floer theory in symplectic fibrations. [Doctoral Dissertation]. Rutgers University; 2016. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/55679/

Michigan State University

2. Hays, Christopher. Constructing symplectic 4-manifolds.

Degree: 2013, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:2066

►

Thesis Ph. D. Michigan State University. Mathematics 2013.

This thesis introduces a new technique for constructing symplectic4-manifolds, generalizing the 3- and 4-fold sums introduced bySymington,… (more)

Subjects/Keywords: Symplectic manifolds; Mathematics

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Hays, C. (2013). Constructing symplectic 4-manifolds. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:2066

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):

Hays, Christopher. “Constructing symplectic 4-manifolds.” 2013. Thesis, Michigan State University. Accessed January 18, 2021. http://etd.lib.msu.edu/islandora/object/etd:2066.

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

MLA Handbook (7^th Edition):

Hays, Christopher. “Constructing symplectic 4-manifolds.” 2013. Web. 18 Jan 2021.

Vancouver:

Hays C. Constructing symplectic 4-manifolds. [Internet] [Thesis]. Michigan State University; 2013. [cited 2021 Jan 18]. Available from: http://etd.lib.msu.edu/islandora/object/etd:2066.

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

Council of Science Editors:

Hays C. Constructing symplectic 4-manifolds. [Thesis]. Michigan State University; 2013. Available from: http://etd.lib.msu.edu/islandora/object/etd:2066

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

Michigan State University

3. Draghici, Tedi C. Special metrics on symplectic manifolds.

Degree: PhD, Department of Mathematics, 1997, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:26653

Subjects/Keywords: Symplectic manifolds

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Draghici, T. C. (1997). Special metrics on symplectic manifolds. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:26653

Chicago Manual of Style (16^th Edition):

Draghici, Tedi C. “Special metrics on symplectic manifolds.” 1997. Doctoral Dissertation, Michigan State University. Accessed January 18, 2021. http://etd.lib.msu.edu/islandora/object/etd:26653.

MLA Handbook (7^th Edition):

Draghici, Tedi C. “Special metrics on symplectic manifolds.” 1997. Web. 18 Jan 2021.

Vancouver:

Draghici TC. Special metrics on symplectic manifolds. [Internet] [Doctoral dissertation]. Michigan State University; 1997. [cited 2021 Jan 18]. Available from: http://etd.lib.msu.edu/islandora/object/etd:26653.

Council of Science Editors:

Draghici TC. Special metrics on symplectic manifolds. [Doctoral Dissertation]. Michigan State University; 1997. Available from: http://etd.lib.msu.edu/islandora/object/etd:26653

University of Minnesota

4. Sakalli, Sumeyra. New Exotic Symplectic 4-Manifolds with Nonnegative Signatures and Exotic Smooth Structures on Small 4-Manifolds.

Degree: PhD, Mathematics, 2018, University of Minnesota

URL: http://hdl.handle.net/11299/201114

► The focus of this thesis is twofold. First one is the geography problem of symplectic and smooth 4-manifolds with nonnegative signatures. We construct new non-spin,… (more)

Subjects/Keywords: Symplectic topology; 4-manifolds; Exotic Structures

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Sakalli, S. (2018). New Exotic Symplectic 4-Manifolds with Nonnegative Signatures and Exotic Smooth Structures on Small 4-Manifolds. (Doctoral Dissertation). University of Minnesota. Retrieved from http://hdl.handle.net/11299/201114

Chicago Manual of Style (16^th Edition):

Sakalli, Sumeyra. “New Exotic Symplectic 4-Manifolds with Nonnegative Signatures and Exotic Smooth Structures on Small 4-Manifolds.” 2018. Doctoral Dissertation, University of Minnesota. Accessed January 18, 2021. http://hdl.handle.net/11299/201114.

MLA Handbook (7^th Edition):

Sakalli, Sumeyra. “New Exotic Symplectic 4-Manifolds with Nonnegative Signatures and Exotic Smooth Structures on Small 4-Manifolds.” 2018. Web. 18 Jan 2021.

Vancouver:

Sakalli S. New Exotic Symplectic 4-Manifolds with Nonnegative Signatures and Exotic Smooth Structures on Small 4-Manifolds. [Internet] [Doctoral dissertation]. University of Minnesota; 2018. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/11299/201114.

Council of Science Editors:

Sakalli S. New Exotic Symplectic 4-Manifolds with Nonnegative Signatures and Exotic Smooth Structures on Small 4-Manifolds. [Doctoral Dissertation]. University of Minnesota; 2018. Available from: http://hdl.handle.net/11299/201114

Michigan State University

5. Bergmann, Jens von. Pseudo-holomorphic maps in folded symplectic manifolds.

Degree: PhD, Department of Mathematics, 2005, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:33651

Subjects/Keywords: Holomorphic mappings; Symplectic manifolds

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Bergmann, J. v. (2005). Pseudo-holomorphic maps in folded symplectic manifolds. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:33651

Chicago Manual of Style (16^th Edition):

Bergmann, Jens von. “Pseudo-holomorphic maps in folded symplectic manifolds.” 2005. Doctoral Dissertation, Michigan State University. Accessed January 18, 2021. http://etd.lib.msu.edu/islandora/object/etd:33651.

MLA Handbook (7^th Edition):

Bergmann, Jens von. “Pseudo-holomorphic maps in folded symplectic manifolds.” 2005. Web. 18 Jan 2021.

Vancouver:

Bergmann Jv. Pseudo-holomorphic maps in folded symplectic manifolds. [Internet] [Doctoral dissertation]. Michigan State University; 2005. [cited 2021 Jan 18]. Available from: http://etd.lib.msu.edu/islandora/object/etd:33651.

Council of Science Editors:

Bergmann Jv. Pseudo-holomorphic maps in folded symplectic manifolds. [Doctoral Dissertation]. Michigan State University; 2005. Available from: http://etd.lib.msu.edu/islandora/object/etd:33651

University of Illinois – Urbana-Champaign

6. Hockensmith, Daniel Lawrence. A classification of toric, folded-symplectic manifolds.

Degree: PhD, Mathematics, 2015, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/88015

► Given a G-toric, folded-symplectic manifold with co-orientable folding hypersurface, we show that its orbit space is naturally a manifold with corners W equipped with a… (more)

▼ Given a G-toric, folded-symplectic manifold with co-orientable folding hypersurface, we show that its orbit space is naturally a manifold with corners W equipped with a smooth map ψ: W → \frak{g}^*, where \frak{g}^* is the dual of the Lie algebra of the torus, G. The map ψ has fold singularities at points in the image of the folding hypersurface under the quotient map and it is a unimodular local embedding away from these points. Thus, to every G-toric, folded-symplectic manifold we can associate its orbit space data ψ:W → \fg^*, a unimodular map with folds. We fix a unimodular map with folds ψ:W → \fg^* and show that isomorphism classes of G-toric, folded-symplectic manifolds whose orbit space data is ψ:W → \fg^* are in bijection with H²(W; ℤ_G × \R), where ℤ_G= \ker(\exp:\frak{g} → G) is the integral lattice of G. Thus, there is a pair of characteristic classes associated to every G-toric, folded-symplectic manifold. This result generalizes a classical theorem of Delzant as well as the classification of toric, origami manifolds, due to Cannas da Silva, Guillemin, and Pires, in the case where the folding hypersurface is co-orientable. We spend a significant amount of time discussing the fundamentals of equivariant and non-equivariant folded-symplectic geometry. In particular, we characterize folded-symplectic forms in terms of their induced map from the sheaf of vector fields into a distinguished sheaf of one-forms, we relate the existence of an orientation on the folding hypersurface of a fold-form to the intrinsic derivative of the contraction mapping from the tangent bundle to the cotangent bundle, and we show that G-toric, folded-symplectic manifolds are stratified by K-toric, folded-symplectic submanifolds, where K varies over the subtori of G and the action is principal on each stratum. We show how these structures give rise to the rigid orbit space structure of a toric, folded-symplectic manifold used in the classification. We also give a robust description of folded-symplectic reduction, which we use to construct local models of toric, folded-symplectic manifolds. Advisors/Committee Members: Lerman, Eugene (advisor), Kerman, Ely (Committee Chair), Tolman, Susan (committee member), Watts, Jordan (committee member).

Subjects/Keywords: folded-symplectic; toric; Delzant; origami manifolds; classification; completely integrable system

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Hockensmith, D. L. (2015). A classification of toric, folded-symplectic manifolds. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/88015

Chicago Manual of Style (16^th Edition):

Hockensmith, Daniel Lawrence. “A classification of toric, folded-symplectic manifolds.” 2015. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed January 18, 2021. http://hdl.handle.net/2142/88015.

MLA Handbook (7^th Edition):

Hockensmith, Daniel Lawrence. “A classification of toric, folded-symplectic manifolds.” 2015. Web. 18 Jan 2021.

Vancouver:

Hockensmith DL. A classification of toric, folded-symplectic manifolds. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2015. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2142/88015.

Council of Science Editors:

Hockensmith DL. A classification of toric, folded-symplectic manifolds. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2015. Available from: http://hdl.handle.net/2142/88015

7. Villatoro, Joel David. Stacks in Poisson geometry.

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

URL: http://hdl.handle.net/2142/101537

► This thesis is divided into four chapters. The first chapter discusses the relationship between stacks on a site and groupoids internal to the site. It… (more)

Subjects/Keywords: Stacks; Differential Manifolds; Poisson Manifolds; Symplectic Manifolds.

…up to Morita equivalence, for a special class of Poisson manifolds called b-symplectic. We… …x28;possibly singular) foliation of the manifold by pre-symplectic manifolds. Although… …behavior. The category Poisson manifolds is rather poorly behaved and a symplectic groupoid is… …up to Morita equivalence, a special class of Poisson manifolds called b-symplectic (or… …singularity along a prescribed hypersurface. The relative tameness of b-symplectic manifolds means…

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Villatoro, J. D. (2018). Stacks in Poisson geometry. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/101537

Chicago Manual of Style (16^th Edition):

Villatoro, Joel David. “Stacks in Poisson geometry.” 2018. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed January 18, 2021. http://hdl.handle.net/2142/101537.

MLA Handbook (7^th Edition):

Villatoro, Joel David. “Stacks in Poisson geometry.” 2018. Web. 18 Jan 2021.

Vancouver:

Villatoro JD. Stacks in Poisson geometry. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2018. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2142/101537.

Council of Science Editors:

Villatoro JD. Stacks in Poisson geometry. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2018. Available from: http://hdl.handle.net/2142/101537

Michigan State University

8. Baykur, Refik İnanç. Symplectic structures, Lefschetz fibrations and their generalizations on smooth four-manifolds.

Degree: PhD, Department of Mathematics, 2007, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:38642

Subjects/Keywords: Symplectic manifolds; Four-manifolds (Topology); Invariant manifolds

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Baykur, R. I. (2007). Symplectic structures, Lefschetz fibrations and their generalizations on smooth four-manifolds. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:38642

Chicago Manual of Style (16^th Edition):

Baykur, Refik İnanç. “Symplectic structures, Lefschetz fibrations and their generalizations on smooth four-manifolds.” 2007. Doctoral Dissertation, Michigan State University. Accessed January 18, 2021. http://etd.lib.msu.edu/islandora/object/etd:38642.

MLA Handbook (7^th Edition):

Baykur, Refik İnanç. “Symplectic structures, Lefschetz fibrations and their generalizations on smooth four-manifolds.” 2007. Web. 18 Jan 2021.

Vancouver:

Baykur RI. Symplectic structures, Lefschetz fibrations and their generalizations on smooth four-manifolds. [Internet] [Doctoral dissertation]. Michigan State University; 2007. [cited 2021 Jan 18]. Available from: http://etd.lib.msu.edu/islandora/object/etd:38642.

Council of Science Editors:

Baykur RI. Symplectic structures, Lefschetz fibrations and their generalizations on smooth four-manifolds. [Doctoral Dissertation]. Michigan State University; 2007. Available from: http://etd.lib.msu.edu/islandora/object/etd:38642

Indian Institute of Science

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

Degree: PhD, Faculty of Science, 2014, Indian Institute of Science

URL: http://etd.iisc.ac.in/handle/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. (2014). Relative Symplectic Caps, Fibered Knots And 4-Genus. (Doctoral Dissertation). Indian Institute of Science. Retrieved from http://etd.iisc.ac.in/handle/2005/2285

Chicago Manual of Style (16^th Edition):

Kulkarni, Dheeraj. “Relative Symplectic Caps, Fibered Knots And 4-Genus.” 2014. Doctoral Dissertation, Indian Institute of Science. Accessed January 18, 2021. http://etd.iisc.ac.in/handle/2005/2285.

MLA Handbook (7^th Edition):

Kulkarni, Dheeraj. “Relative Symplectic Caps, Fibered Knots And 4-Genus.” 2014. Web. 18 Jan 2021.

Vancouver:

Kulkarni D. Relative Symplectic Caps, Fibered Knots And 4-Genus. [Internet] [Doctoral dissertation]. Indian Institute of Science; 2014. [cited 2021 Jan 18]. Available from: http://etd.iisc.ac.in/handle/2005/2285.

Council of Science Editors:

Kulkarni D. Relative Symplectic Caps, Fibered Knots And 4-Genus. [Doctoral Dissertation]. Indian Institute of Science; 2014. Available from: http://etd.iisc.ac.in/handle/2005/2285

Northeastern University

10. Gamse, Elisheva Adina. Two explorations in symplectic geometry: I. Moduli spaces of parabolic vector bundles over curves II. Characters of quantisations of Hamiltonian actions of compact Lie groups on symplectic manifolds.

Degree: PhD, Department of Mathematics, 2016, Northeastern University

URL: http://hdl.handle.net/2047/D20211399

► In Part I we study the moduli space of holomorphic parabolic vector bundles over a curve, using combinatorial techniques to obtain information about the structure… (more)

Subjects/Keywords: moduli space; geometric quantisation; Lie group actions; Symplectic geometry; Symplectic manifolds; Vector bundles; Moduli theory; Rings (Algebra); Lie groups; Quantum theory

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Gamse, E. A. (2016). Two explorations in symplectic geometry: I. Moduli spaces of parabolic vector bundles over curves II. Characters of quantisations of Hamiltonian actions of compact Lie groups on symplectic manifolds. (Doctoral Dissertation). Northeastern University. Retrieved from http://hdl.handle.net/2047/D20211399

Chicago Manual of Style (16^th Edition):

Gamse, Elisheva Adina. “Two explorations in symplectic geometry: I. Moduli spaces of parabolic vector bundles over curves II. Characters of quantisations of Hamiltonian actions of compact Lie groups on symplectic manifolds.” 2016. Doctoral Dissertation, Northeastern University. Accessed January 18, 2021. http://hdl.handle.net/2047/D20211399.

MLA Handbook (7^th Edition):

Gamse, Elisheva Adina. “Two explorations in symplectic geometry: I. Moduli spaces of parabolic vector bundles over curves II. Characters of quantisations of Hamiltonian actions of compact Lie groups on symplectic manifolds.” 2016. Web. 18 Jan 2021.

Vancouver:

Gamse EA. Two explorations in symplectic geometry: I. Moduli spaces of parabolic vector bundles over curves II. Characters of quantisations of Hamiltonian actions of compact Lie groups on symplectic manifolds. [Internet] [Doctoral dissertation]. Northeastern University; 2016. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2047/D20211399.

Council of Science Editors:

Gamse EA. Two explorations in symplectic geometry: I. Moduli spaces of parabolic vector bundles over curves II. Characters of quantisations of Hamiltonian actions of compact Lie groups on symplectic manifolds. [Doctoral Dissertation]. Northeastern University; 2016. Available from: http://hdl.handle.net/2047/D20211399

11. Hoai, Bich Thuan Vong. On Symplectic Invariants Associated to Zoll Manifolds.

Degree: PhD, Mathematics, 2014, University of Michigan

URL: http://hdl.handle.net/2027.42/108954

► In this thesis, we provide a partial classification for M. Audin’s polarized symplectic manifolds, which are smooth symplectic manifolds endowed with a Morse-Bott function having… (more)

Subjects/Keywords: Zoll Manifolds; Polarized Symplectic Manifolds; Mathematics; Science

…ABSTRACT On Symplectic Invariants Associated to Zoll Manifolds by Bich T. Hoai Chair… …polarized symplectic manifolds, which are smooth symplectic manifolds endowed with a MorseBott… …polarized symplectic manifolds introduced by Audin in [2] and [3], which are… …polarized symplectic manifolds, are defined in Chapter 3, and some known examples are given… …symplectic manifolds contain a CROSS as the minimal submanifold?” There are partial results in this…

4 more images…

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Hoai, B. T. V. (2014). On Symplectic Invariants Associated to Zoll Manifolds. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/108954

Chicago Manual of Style (16^th Edition):

Hoai, Bich Thuan Vong. “On Symplectic Invariants Associated to Zoll Manifolds.” 2014. Doctoral Dissertation, University of Michigan. Accessed January 18, 2021. http://hdl.handle.net/2027.42/108954.

MLA Handbook (7^th Edition):

Hoai, Bich Thuan Vong. “On Symplectic Invariants Associated to Zoll Manifolds.” 2014. Web. 18 Jan 2021.

Vancouver:

Hoai BTV. On Symplectic Invariants Associated to Zoll Manifolds. [Internet] [Doctoral dissertation]. University of Michigan; 2014. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2027.42/108954.

Council of Science Editors:

Hoai BTV. On Symplectic Invariants Associated to Zoll Manifolds. [Doctoral Dissertation]. University of Michigan; 2014. Available from: http://hdl.handle.net/2027.42/108954

12. Morton, Daniel. GKM manifolds with low Betti numbers.

Degree: PhD, 0439, 2012, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/29636

► A GKM manifold is a symplectic manifold with a torus action such that the fixed points are isolated and the isotropy weights at the fixed… (more)

Subjects/Keywords: GKM Manifolds; GKM Graphs; Symplectic Geometry; Symplectic Manifolds; Torus Actions

…x5D;. Classification becomes harder in the case of 2n-dimensional symplectic manifolds with… …in some of the same ways that we use polytopes to study symplectic toric manifolds… …x29; → H ∗ (M ) is a surjection. That symplectic manifolds with Hamiltonian torus… …This is well-defined since all symplectic manifolds have almost complex structures and the… …symplectic manifolds. There is also a way to define abstract GKM graphs without any notion of GKM…

10 more images…

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Morton, D. (2012). GKM manifolds with low Betti numbers. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/29636

Chicago Manual of Style (16^th Edition):

Morton, Daniel. “GKM manifolds with low Betti numbers.” 2012. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed January 18, 2021. http://hdl.handle.net/2142/29636.

MLA Handbook (7^th Edition):

Morton, Daniel. “GKM manifolds with low Betti numbers.” 2012. Web. 18 Jan 2021.

Vancouver:

Morton D. GKM manifolds with low Betti numbers. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2012. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2142/29636.

Council of Science Editors:

Morton D. GKM manifolds with low Betti numbers. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2012. Available from: http://hdl.handle.net/2142/29636

University of Michigan

13. Korpas, Levente. Quantization of symplectic cobordisms.

Degree: PhD, Pure Sciences, 1999, University of Michigan

URL: http://hdl.handle.net/2027.42/131922

► In this work we construct a unitary operator acting between Spin^c quantizations of compact integral symplectic manifolds which are symplectically cobordant. The construction is… (more)

Subjects/Keywords: Cobordisms; Dirac Operators; Quantization; Symplectic Manifolds

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Korpas, L. (1999). Quantization of symplectic cobordisms. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/131922

Chicago Manual of Style (16^th Edition):

Korpas, Levente. “Quantization of symplectic cobordisms.” 1999. Doctoral Dissertation, University of Michigan. Accessed January 18, 2021. http://hdl.handle.net/2027.42/131922.

MLA Handbook (7^th Edition):

Korpas, Levente. “Quantization of symplectic cobordisms.” 1999. Web. 18 Jan 2021.

Vancouver:

Korpas L. Quantization of symplectic cobordisms. [Internet] [Doctoral dissertation]. University of Michigan; 1999. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2027.42/131922.

Council of Science Editors:

Korpas L. Quantization of symplectic cobordisms. [Doctoral Dissertation]. University of Michigan; 1999. Available from: http://hdl.handle.net/2027.42/131922

14. Fazeela, K. Momentum maps on Symplectic manifolds;.

Degree: Mathematics, 2008, University of Calicut

URL: http://shodhganga.inflibnet.ac.in/handle/10603/5669

None

Bibliography p. 205-209

Advisors/Committee Members: Moosath, K S Subramanian.

Subjects/Keywords: Mathematics; Standard Momentum Map; Symplectic Manifolds

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Fazeela, K. (2008). Momentum maps on Symplectic manifolds;. (Thesis). University of Calicut. Retrieved from http://shodhganga.inflibnet.ac.in/handle/10603/5669

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):

Fazeela, K. “Momentum maps on Symplectic manifolds;.” 2008. Thesis, University of Calicut. Accessed January 18, 2021. http://shodhganga.inflibnet.ac.in/handle/10603/5669.

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

MLA Handbook (7^th Edition):

Fazeela, K. “Momentum maps on Symplectic manifolds;.” 2008. Web. 18 Jan 2021.

Vancouver:

Fazeela K. Momentum maps on Symplectic manifolds;. [Internet] [Thesis]. University of Calicut; 2008. [cited 2021 Jan 18]. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/5669.

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

Council of Science Editors:

Fazeela K. Momentum maps on Symplectic manifolds;. [Thesis]. University of Calicut; 2008. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/5669

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

Penn State University

15. Hong, Wei. Some problems in Poisson geometry.

Degree: 2013, Penn State University

URL: https://submit-etda.libraries.psu.edu/catalog/17480

► Two main topics are discussed in this dissertation. In the first part (see Chapter 3), I compute the Poisson cohomology of Poisson del Pezzo surfaces.… (more)

Subjects/Keywords: (holomorphic) Poisson manifolds; Poisson cohomology; Courant algebroid; hypercomplex structure; holomorphic symplectic structure

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Hong, W. (2013). Some problems in Poisson geometry. (Thesis). Penn State University. Retrieved from https://submit-etda.libraries.psu.edu/catalog/17480

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):

Hong, Wei. “Some problems in Poisson geometry.” 2013. Thesis, Penn State University. Accessed January 18, 2021. https://submit-etda.libraries.psu.edu/catalog/17480.

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

MLA Handbook (7^th Edition):

Hong, Wei. “Some problems in Poisson geometry.” 2013. Web. 18 Jan 2021.

Vancouver:

Hong W. Some problems in Poisson geometry. [Internet] [Thesis]. Penn State University; 2013. [cited 2021 Jan 18]. Available from: https://submit-etda.libraries.psu.edu/catalog/17480.

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

Council of Science Editors:

Hong W. Some problems in Poisson geometry. [Thesis]. Penn State University; 2013. Available from: https://submit-etda.libraries.psu.edu/catalog/17480

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

16. Keddari, Nassima. Intersections lagrangiennes pour les sous-variétés monotones et presque monotones : Lagrangian intersections for monotone and almost monotone submanifolds.

Degree: Docteur es, Mathématiques, 2018, Université de Strasbourg

URL: http://www.theses.fr/2018STRAD030

►

Dans la première partie de cette thèse, on donne, sous certaines hypothèses, une minoration du nombre de points d’intersections d’une sous-variété Lagrangienne monotone L avec… (more)

▼

Dans la première partie de cette thèse, on donne, sous certaines hypothèses, une minoration du nombre de points d’intersections d’une sous-variété Lagrangienne monotone L avec son image par une isotopie Hamiltonienne. Dans le cas où L est un espace K(pi, 1), et en particulier à courbure sectionnelle strictement négative, le minorant est 1 + beta1(L), où beta1 est le premier nombre de Betti à coefficients dans Z2. Une autre conséquence est la non-déplaçabilité d’un plongement Lagrangien monotone de RPn × K (où K est une sous-variété à courbure sectionnelle strictement négative telle que H1(K, Z) ≠ 0) dans certaines variétés symplectiques. Dans la seconde partie, on considère une sous-variété Lagrangienne monotone L non déplaçable. En utilisant l’homologie de Floer définie pour les Lagrangiennes qui sont C-1-proches de L, on obtient des informations sur son nombre de Maslov. De plus, si L peut être approchée par une suite de Lagrangiennes déplaçables, alors, sous certaines hypothèses topologiques sur L, l’énergie de déplacement des éléments de cette suite tend vers l’infini.

N the first part of the thesis, we give, under some hypotheses, a lower bound on the intersection number of a closed monotone Lagrangian submanifold L with its image by a generic Hamiltonianisotopy. For monotone Lagrangian submanifolds L which are K(pi, 1) and, in particular with negative sectional curvature, this bound is 1 + beta₁(L), where beta₁ is the first Betti number with coefficients in Z₂. Another consequence, is the non-displaceability of a monotone Lagrangian embedding of RPn x K (where K is a submanifold with negative sectional curvature such that H¹(K, Z) ≠ 0) in some symplectic manifolds. In the second part, given a closed monotone Lagrangian submanifold L, which is not displaceable, we use Floer homology defined on Lagrangians which are C¹ - close to L, to get information about it Maslov number. Besides, if L can be approached by a sequence of displaceable Lagrangians, then, under some topological assumptions on L, the displacement energy of the elements of this sequence converge to infinity.

Advisors/Committee Members: Damian, Mihai (thesis director).

Subjects/Keywords: Dynamique Hamiltonienne; Homologie de Floer; Variétés symplectiques; Monotone Lagrangian submanifolds; Floer homology; Symplectic manifolds; 516.36

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Keddari, N. (2018). Intersections lagrangiennes pour les sous-variétés monotones et presque monotones : Lagrangian intersections for monotone and almost monotone submanifolds. (Doctoral Dissertation). Université de Strasbourg. Retrieved from http://www.theses.fr/2018STRAD030

Chicago Manual of Style (16^th Edition):

Keddari, Nassima. “Intersections lagrangiennes pour les sous-variétés monotones et presque monotones : Lagrangian intersections for monotone and almost monotone submanifolds.” 2018. Doctoral Dissertation, Université de Strasbourg. Accessed January 18, 2021. http://www.theses.fr/2018STRAD030.

MLA Handbook (7^th Edition):

Keddari, Nassima. “Intersections lagrangiennes pour les sous-variétés monotones et presque monotones : Lagrangian intersections for monotone and almost monotone submanifolds.” 2018. Web. 18 Jan 2021.

Vancouver:

Keddari N. Intersections lagrangiennes pour les sous-variétés monotones et presque monotones : Lagrangian intersections for monotone and almost monotone submanifolds. [Internet] [Doctoral dissertation]. Université de Strasbourg; 2018. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2018STRAD030.

Council of Science Editors:

Keddari N. Intersections lagrangiennes pour les sous-variétés monotones et presque monotones : Lagrangian intersections for monotone and almost monotone submanifolds. [Doctoral Dissertation]. Université de Strasbourg; 2018. Available from: http://www.theses.fr/2018STRAD030

University of Minnesota

17. Li, Jun. Symplectomorphism Group of Rational 4-Manifolds.

Degree: PhD, Mathematics, 2017, University of Minnesota

URL: http://hdl.handle.net/11299/190537

► We develop techniques for studying the symplectomorphism group of rational 4-manifolds. We study the space of tamed almost complex structures \mJ_\w using a fine decomposition… (more)

Subjects/Keywords: almost complex manifold; ball packing; holomorphic curves; rational 4-manifolds; symplectic geometry; symplectomorphism groups

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Li, J. (2017). Symplectomorphism Group of Rational 4-Manifolds. (Doctoral Dissertation). University of Minnesota. Retrieved from http://hdl.handle.net/11299/190537

Chicago Manual of Style (16^th Edition):

Li, Jun. “Symplectomorphism Group of Rational 4-Manifolds.” 2017. Doctoral Dissertation, University of Minnesota. Accessed January 18, 2021. http://hdl.handle.net/11299/190537.

MLA Handbook (7^th Edition):

Li, Jun. “Symplectomorphism Group of Rational 4-Manifolds.” 2017. Web. 18 Jan 2021.

Vancouver:

Li J. Symplectomorphism Group of Rational 4-Manifolds. [Internet] [Doctoral dissertation]. University of Minnesota; 2017. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/11299/190537.

Council of Science Editors:

Li J. Symplectomorphism Group of Rational 4-Manifolds. [Doctoral Dissertation]. University of Minnesota; 2017. Available from: http://hdl.handle.net/11299/190537

University of Waterloo

18. Hays, Christopher. Non-Isotopic Symplectic Surfaces in Products of Riemann Surfaces.

Degree: 2006, University of Waterloo

URL: http://hdl.handle.net/10012/2917

► <html> <head> <meta http-equiv="Content-Type" content="text/html;charset=iso-8859-1"> </head> Let Σ<em>_g</em> be a closed Riemann surface of genus g. Generalizing Ivan Smith's construction, for each g ≥ 1… (more)

Subjects/Keywords: Mathematics; Symplectic Manifolds; Isotopy Problem; Branched Covers

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Hays, C. (2006). Non-Isotopic Symplectic Surfaces in Products of Riemann Surfaces. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/2917

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):

Hays, Christopher. “Non-Isotopic Symplectic Surfaces in Products of Riemann Surfaces.” 2006. Thesis, University of Waterloo. Accessed January 18, 2021. http://hdl.handle.net/10012/2917.

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

MLA Handbook (7^th Edition):

Hays, Christopher. “Non-Isotopic Symplectic Surfaces in Products of Riemann Surfaces.” 2006. Web. 18 Jan 2021.

Vancouver:

Hays C. Non-Isotopic Symplectic Surfaces in Products of Riemann Surfaces. [Internet] [Thesis]. University of Waterloo; 2006. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/10012/2917.

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

Council of Science Editors:

Hays C. Non-Isotopic Symplectic Surfaces in Products of Riemann Surfaces. [Thesis]. University of Waterloo; 2006. Available from: http://hdl.handle.net/10012/2917

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

Michigan State University

19. Lee, Junho. Family Gromov-Witten invariants for Kälher surfaces.

Degree: PhD, Department of Mathematics, 2001, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:30889

Subjects/Keywords: Invariants; Surfaces; Curves on surfaces; Kählerian structures; Symplectic manifolds

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Lee, J. (2001). Family Gromov-Witten invariants for Kälher surfaces. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:30889

Chicago Manual of Style (16^th Edition):

Lee, Junho. “Family Gromov-Witten invariants for Kälher surfaces.” 2001. Doctoral Dissertation, Michigan State University. Accessed January 18, 2021. http://etd.lib.msu.edu/islandora/object/etd:30889.

MLA Handbook (7^th Edition):

Lee, Junho. “Family Gromov-Witten invariants for Kälher surfaces.” 2001. Web. 18 Jan 2021.

Vancouver:

Lee J. Family Gromov-Witten invariants for Kälher surfaces. [Internet] [Doctoral dissertation]. Michigan State University; 2001. [cited 2021 Jan 18]. Available from: http://etd.lib.msu.edu/islandora/object/etd:30889.

Council of Science Editors:

Lee J. Family Gromov-Witten invariants for Kälher surfaces. [Doctoral Dissertation]. Michigan State University; 2001. Available from: http://etd.lib.msu.edu/islandora/object/etd:30889

University of Hong Kong

20. Mao, Shenggen. Symplectic analysis of flexible structures by finite elements.

Degree: 1996, University of Hong Kong

URL: http://hdl.handle.net/10722/34771

Subjects/Keywords: Symplectic manifolds.; Finite element method.; Flexible structures.

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Mao, S. (1996). Symplectic analysis of flexible structures by finite elements. (Thesis). University of Hong Kong. Retrieved from http://hdl.handle.net/10722/34771

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):

Mao, Shenggen. “Symplectic analysis of flexible structures by finite elements.” 1996. Thesis, University of Hong Kong. Accessed January 18, 2021. http://hdl.handle.net/10722/34771.

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

MLA Handbook (7^th Edition):

Mao, Shenggen. “Symplectic analysis of flexible structures by finite elements.” 1996. Web. 18 Jan 2021.

Vancouver:

Mao S. Symplectic analysis of flexible structures by finite elements. [Internet] [Thesis]. University of Hong Kong; 1996. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/10722/34771.

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

Council of Science Editors:

Mao S. Symplectic analysis of flexible structures by finite elements. [Thesis]. University of Hong Kong; 1996. Available from: http://hdl.handle.net/10722/34771

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

Université de Lorraine

21. Gérard, Maxime. Méthodes de sélection de structures presque complexes dans le cadre symplectique : Methods to select almost complex structures in symplectic geometry.

Degree: Docteur es, Mathématiques, 2018, Université de Lorraine

URL: http://www.theses.fr/2018LORR0051

►

Étant donné une variété symplectique (M,ω), il existe toujours des structures presque complexes ω-compatibles positives. La question qui nous intéresse est de trouver des méthodes… (more)

▼

Étant donné une variété symplectique (M,ω), il existe toujours des structures presque complexes ω-compatibles positives. La question qui nous intéresse est de trouver des méthodes de sélection de certaines de ces structures. Des réponses ont déjà été données par V. Apostolov et T.Draghici, J.G. Evans, et J. Keller et M. Lejmi. Nous nous intéressons ici principalement à des méthodes de sélection définies en termes du tenseur de Nijenhuis. De manière très générale, lorsqu'on veut sélectionner certaines données géométriques, on peut aborder le problème de différentes manières. L’une d’entre elles consiste à regarder la décomposition en composantes irréductibles de certains tenseurs naturellement associés à la structure considérée et poser des conditions sur certaines composantes. Nous avons montré que le tenseur de Nijenhuis est irréductible sous l'action du groupe unitaire. Cette irréductibilité ne nous permet pas d'imposer d'autre condition linéaire à ce tenseur que son annulation, qui correspond aux variétés de Kähler. Une autre méthode possible de sélection est d’imposer des conditions à certaines distributions liées au problème. Nous avons étudié des distributions liées au tenseur de Nijenhuis. Nous nous sommes intéressés ici aux dimensions et propriétés d’involutivité possibles de ces distributions. Nous donnons des exemples invariants sous l’action d’un groupe, construits sur des groupes symplectiques ou sur des fibrés de twisteurs sur une variété riemannienne. La dernière méthode envisagée dans ce travail est la considération de fonctionnelles définies à partir des données. Pour construire une fonctionnelle la plus simple possible en termes du tenseur de Nijenhuis, nous intégrons une fonction polynomiale du second degré en les composantes du tenseur de Nijenhuis. On montre qu’un tel polynôme est toujours un multiple de la norme au carré de ce tenseur. La fonctionnelle obtenue est celle étudiée par Evans. Elle est a priori peu intéressante pour notre problème de sélection car il a prouvé qu’on peut trouver des exemples de variétés symplectiques n’admettant aucune structure kählérienne mais telle que l’infimum de la fonctionnelle soit nul

Given a symplectic manifold (M, ω), there always exist almost complex ω-compatible positive structures. The problem studied in this thesis is to find methods to select some of these structures. Answers have already been suggested by V. Apostolov and T.Draghici, J. G. Evans, and J. Keller and M. Lejmi. We are mainly interested here in selection methods defined in terms of the Nijenhuis tensor. The problem of selecting geometric objects can be tackled in various ways. One of them is to decompose into irreducible components some tensors naturally associated with the structure, and to impose conditions on some of those components. We prove that the Nijenhuis tensor is irreducible under the action of the unitary group. This irreducibility does not allow to impose any linear condition on the Nijenhuis tensor, except the vanishing of it, which corresponds to Kähler manifolds. Another…

Advisors/Committee Members: Gutt, Simone (thesis director).

Subjects/Keywords: Variété symplectique; Structures presque complexes; Tenseur de Nijenhuis; Symplectic manifolds; Almost complex structures; Nijenhuis tensor; 516.36; 515.63

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Gérard, M. (2018). Méthodes de sélection de structures presque complexes dans le cadre symplectique : Methods to select almost complex structures in symplectic geometry. (Doctoral Dissertation). Université de Lorraine. Retrieved from http://www.theses.fr/2018LORR0051

Chicago Manual of Style (16^th Edition):

Gérard, Maxime. “Méthodes de sélection de structures presque complexes dans le cadre symplectique : Methods to select almost complex structures in symplectic geometry.” 2018. Doctoral Dissertation, Université de Lorraine. Accessed January 18, 2021. http://www.theses.fr/2018LORR0051.

MLA Handbook (7^th Edition):

Gérard, Maxime. “Méthodes de sélection de structures presque complexes dans le cadre symplectique : Methods to select almost complex structures in symplectic geometry.” 2018. Web. 18 Jan 2021.

Vancouver:

Gérard M. Méthodes de sélection de structures presque complexes dans le cadre symplectique : Methods to select almost complex structures in symplectic geometry. [Internet] [Doctoral dissertation]. Université de Lorraine; 2018. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2018LORR0051.

Council of Science Editors:

Gérard M. Méthodes de sélection de structures presque complexes dans le cadre symplectique : Methods to select almost complex structures in symplectic geometry. [Doctoral Dissertation]. Université de Lorraine; 2018. Available from: http://www.theses.fr/2018LORR0051

22. Bongers, S.R. Geometric quantization of symplectic and Poisson manifolds.

Degree: 2014, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/290019

► The first part of this thesis provides an introduction to recent development in geometric quantization of symplectic and Poisson manifolds, including modern refinements involving Lie… (more)

Subjects/Keywords: quantization; geometric quantization; symplectic manifolds; Poisson manifolds; Poisson sigma-model

…0 ∇0 where i! = (i∗ )∨ ◦ T h. In the case of symplectic manifolds we should get… …In chapter 2 we give a review of standard geometric quantization of symplectic manifolds… …of symplectic manifolds, this gives the construction of a prequantum line bundle, which is… …reproduce the geometric quantization of symplectic manifolds and give rise to the Moyal… …Symplectic Manifolds In this chapter we give a review of standard geometric quantization of…

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Bongers, S. R. (2014). Geometric quantization of symplectic and Poisson manifolds. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/290019

Chicago Manual of Style (16^th Edition):

Bongers, S R. “Geometric quantization of symplectic and Poisson manifolds.” 2014. Masters Thesis, Universiteit Utrecht. Accessed January 18, 2021. http://dspace.library.uu.nl:8080/handle/1874/290019.

MLA Handbook (7^th Edition):

Bongers, S R. “Geometric quantization of symplectic and Poisson manifolds.” 2014. Web. 18 Jan 2021.

Vancouver:

Bongers SR. Geometric quantization of symplectic and Poisson manifolds. [Internet] [Masters thesis]. Universiteit Utrecht; 2014. [cited 2021 Jan 18]. Available from: http://dspace.library.uu.nl:8080/handle/1874/290019.

Council of Science Editors:

Bongers SR. Geometric quantization of symplectic and Poisson manifolds. [Masters Thesis]. Universiteit Utrecht; 2014. Available from: http://dspace.library.uu.nl:8080/handle/1874/290019

University of Michigan

23. Pelayo, Alvaro. Symplectic torus actions.

Degree: PhD, Pure Sciences, 2007, University of Michigan

URL: http://hdl.handle.net/2027.42/126794

► We prove several theorems regarding symplectic torus actions and related topics. The thesis consists of four chapters, each of them with an independent abstract and… (more)

Subjects/Keywords: Classification; Homotopy; Manifolds-4; Manifolds-four; Symplectic Orbits; Toric Ball Packings; Torus Actions

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Pelayo, A. (2007). Symplectic torus actions. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/126794

Chicago Manual of Style (16^th Edition):

Pelayo, Alvaro. “Symplectic torus actions.” 2007. Doctoral Dissertation, University of Michigan. Accessed January 18, 2021. http://hdl.handle.net/2027.42/126794.

MLA Handbook (7^th Edition):

Pelayo, Alvaro. “Symplectic torus actions.” 2007. Web. 18 Jan 2021.

Vancouver:

Pelayo A. Symplectic torus actions. [Internet] [Doctoral dissertation]. University of Michigan; 2007. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2027.42/126794.

Council of Science Editors:

Pelayo A. Symplectic torus actions. [Doctoral Dissertation]. University of Michigan; 2007. Available from: http://hdl.handle.net/2027.42/126794

24. Courte, Sylvain. H-cobordismes en géométrie symplectique : H-cobordisms in symplectic geometry.

Degree: Docteur es, Mathématiques, 2015, Lyon, École normale supérieure

URL: http://www.theses.fr/2015ENSL0991

►

À toute variété de contact, on peut associer canoniquement une variété symplectique appelée sa symplectisation de sorte que la géométrie de contact peut se reformuler… (more)

▼

À toute variété de contact, on peut associer canoniquement une variété symplectique appelée sa symplectisation de sorte que la géométrie de contact peut se reformuler en termes de géométrie symplectique équivariante. Au sujet de cette construction fondamentale, une question basique restait ouverte : si deux variété de contact ont des symplectisations isomorphes sont-elles isomorphes ? On construit dans cette thèse des contre-exemples à cette question. Il existe en effet, en toute dimension impaire supérieure ou égale à 5, des variétés de contact non difféomorphes admettant pourtant des symplectisations isomorphes. On construit également, sur une même variété deux structures de contact non conjuguées par un difféomorphisme mais admettant des symplectisations isomorphes. Les démonstrations sont basées sur un phénomène bien connu en topologie différentielle (l'existence de h-cobordismes non triviaux, détectée par la torsion de Whitehead) ainsi que sur des résultats de flexibilité en géométrie symplectique dus à Cieliebak et Eliashberg. Un autre résultat de cette th?e affirme que ces variété de contact, bien que non isomorphes, le deviennent toutefois après un nombre suffisant de sommes connexes avec un produit de sphères.

To any contact manifold one can associate a symplectic manifold called its symplectisation in such a way that contact geometry can be reformulated in terms of equivariant symplectic geometry. Concerning this fundamental construction, a basic question remained open : if two contact manifolds have isomorphic symplectizations, are they isomorphic ? In this thesis, we construct counter-examples to this question. Indeed, in any odd dimension greater than or equal to 5, there exist non-diffeomorphic contact manifolds with isomorphic symplectisations. In addition, we construct two contact structures on a closed manifold that are not conjugate by a diffeomorphism though their symplectizations are isomorphic. The proofs are based on a well-known phenomenon in differential topology (the existence of non-trivial h-cobordisms, detected by Whitehead torsion) as well as flexibility results in symplectic geometry due to Cieliebak and Eliashberg. Another result from this thesis asserts that though these contact manifolds are not isomorphic, they become so after sufficiently many connect sum with a product of spheres.

Advisors/Committee Members: Giroux, Emmanuel (thesis director).

Subjects/Keywords: Variétés de contact; Variétés symplectiques; Symplectisation; Cobordismes de Weinstein; H-principe; H-cobordismes; Torsion de Whitehead; Contact manifolds; Symplectic manifolds; Symplectization; Weinstein cobordisms; H-principle; H-cobordisms; Whitehead torsion

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Courte, S. (2015). H-cobordismes en géométrie symplectique : H-cobordisms in symplectic geometry. (Doctoral Dissertation). Lyon, École normale supérieure. Retrieved from http://www.theses.fr/2015ENSL0991

Chicago Manual of Style (16^th Edition):

Courte, Sylvain. “H-cobordismes en géométrie symplectique : H-cobordisms in symplectic geometry.” 2015. Doctoral Dissertation, Lyon, École normale supérieure. Accessed January 18, 2021. http://www.theses.fr/2015ENSL0991.

MLA Handbook (7^th Edition):

Courte, Sylvain. “H-cobordismes en géométrie symplectique : H-cobordisms in symplectic geometry.” 2015. Web. 18 Jan 2021.

Vancouver:

Courte S. H-cobordismes en géométrie symplectique : H-cobordisms in symplectic geometry. [Internet] [Doctoral dissertation]. Lyon, École normale supérieure; 2015. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2015ENSL0991.

Council of Science Editors:

Courte S. H-cobordismes en géométrie symplectique : H-cobordisms in symplectic geometry. [Doctoral Dissertation]. Lyon, École normale supérieure; 2015. Available from: http://www.theses.fr/2015ENSL0991

Rhodes University

25. Remsing, Claidiu Cristian. Tangentially symplectic foliations.

Degree: Faculty of Science, Mathematics, 1994, Rhodes University

URL: http://hdl.handle.net/10962/d1005233

► This thesis is concerned principally with tangential geometry and the applications of these concepts to tangentially symplectic foliations. The subject of tangential geometry is still… (more)

Subjects/Keywords: Geometry Problems, exercises, etc; Geometry, Differential; Symplectic manifolds; Poisson manifolds; Foliations (Mathematics)

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Remsing, C. C. (1994). Tangentially symplectic foliations. (Thesis). Rhodes University. Retrieved from http://hdl.handle.net/10962/d1005233

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):

Remsing, Claidiu Cristian. “Tangentially symplectic foliations.” 1994. Thesis, Rhodes University. Accessed January 18, 2021. http://hdl.handle.net/10962/d1005233.

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

MLA Handbook (7^th Edition):

Remsing, Claidiu Cristian. “Tangentially symplectic foliations.” 1994. Web. 18 Jan 2021.

Vancouver:

Remsing CC. Tangentially symplectic foliations. [Internet] [Thesis]. Rhodes University; 1994. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/10962/d1005233.

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

Council of Science Editors:

Remsing CC. Tangentially symplectic foliations. [Thesis]. Rhodes University; 1994. Available from: http://hdl.handle.net/10962/d1005233

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

Universidade Estadual de Campinas

26. Correa, Eder de Moraes, 1986-. Integrable systems in coadjoint orbits and applications = Sistemas integráveis em órbitas coadjuntas e aplicações: Sistemas integráveis em órbitas coadjuntas e aplicações.

Degree: 2017, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/325527

► Abstract: The purpose of this thesis is to study Hamiltonian integrable systems in coadjoint orbits and topics related to its applications. This work is essentially… (more)

▼ Abstract: The purpose of this thesis is to study Hamiltonian integrable systems in coadjoint orbits and topics related to its applications. This work is essentially divided in two parts which can be briefly described as follows. In the first part we study the construction of Gelfand-Tsetlin integrable systems in coadjoint orbits of classical compact Lie groups. For Gelfand-Tsetlin integrable systems we provide a Lax matrix formulation which allows us to recover the system by means of spectral invariants associated to a suitable Lax matrix. Still in the context of Hamiltonian systems, we also provide a complete description of the functions which compose Gelfand-Tsetlin-Molev integrable systems for two low dimensional concrete examples. In the second part of this work we study the construction of Calabi-Yau metrics on canonical bundles of complex flag manifolds. By means of tools provided by the Lie algebra representation theory and the Calabi ansatz technique, we describe a huge family of non trivial examples of complete non compact Calabi-Yau manifolds. The main motivations to develop this work are the relationship between complex flag manifolds, toric manifolds, convexity theorems for moment maps and mirror symmetry. The connection between these two parts briefly described here is the background of special Lagrangian fibrations. The construction of examples of such fibrations are extremely important for understanding the duality between symplectic geometry and complex geometry proposed by mirror symmetry Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), San Martin, Luiz Antonio Barrera, 1955- (advisor), Grama, Lino Anderson da Silva, 1981- (coadvisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Ruffino, Paulo Regis Caron (committee member), Ledesma, Diego Sebastian (committee member), Struchiner, Ivan (committee member), Mandini, Alesia (committee member).

Subjects/Keywords: Lie, Teoria de; Geometria simplética; Sistemas hamiltonianos; Calabi-Yau, Variedades de; Geometria diferencial; Lie theory; Symplectic geometry; Hamiltonian systems; Calabi-Yau manifolds; Differential geometry

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Correa, Eder de Moraes, 1. (2017). Integrable systems in coadjoint orbits and applications = Sistemas integráveis em órbitas coadjuntas e aplicações: Sistemas integráveis em órbitas coadjuntas e aplicações. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/325527

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):

Correa, Eder de Moraes, 1986-. “Integrable systems in coadjoint orbits and applications = Sistemas integráveis em órbitas coadjuntas e aplicações: Sistemas integráveis em órbitas coadjuntas e aplicações.” 2017. Thesis, Universidade Estadual de Campinas. Accessed January 18, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/325527.

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

MLA Handbook (7^th Edition):

Correa, Eder de Moraes, 1986-. “Integrable systems in coadjoint orbits and applications = Sistemas integráveis em órbitas coadjuntas e aplicações: Sistemas integráveis em órbitas coadjuntas e aplicações.” 2017. Web. 18 Jan 2021.

Vancouver:

Correa, Eder de Moraes 1. Integrable systems in coadjoint orbits and applications = Sistemas integráveis em órbitas coadjuntas e aplicações: Sistemas integráveis em órbitas coadjuntas e aplicações. [Internet] [Thesis]. Universidade Estadual de Campinas; 2017. [cited 2021 Jan 18]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/325527.

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

Council of Science Editors:

Correa, Eder de Moraes 1. Integrable systems in coadjoint orbits and applications = Sistemas integráveis em órbitas coadjuntas e aplicações: Sistemas integráveis em órbitas coadjuntas e aplicações. [Thesis]. Universidade Estadual de Campinas; 2017. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/325527

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

Rhodes University

27. Russell, Neil Eric. Aspects of the symplectic and metric geometry of classical and quantum physics.

Degree: Faculty of Science, Physics and Electronics, 1993, Rhodes University

URL: http://hdl.handle.net/10962/d1005237

► I investigate some algebras and calculi naturally associated with the symplectic and metric Clifford algebras. In particular, I reformulate the well known Lepage decomposition for… (more)

Subjects/Keywords: Symplectic manifolds; Geometry, Differential; Geometric quantization; Quantum theory; Clifford algebras

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Russell, N. E. (1993). Aspects of the symplectic and metric geometry of classical and quantum physics. (Thesis). Rhodes University. Retrieved from http://hdl.handle.net/10962/d1005237

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):

Russell, Neil Eric. “Aspects of the symplectic and metric geometry of classical and quantum physics.” 1993. Thesis, Rhodes University. Accessed January 18, 2021. http://hdl.handle.net/10962/d1005237.

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

MLA Handbook (7^th Edition):

Russell, Neil Eric. “Aspects of the symplectic and metric geometry of classical and quantum physics.” 1993. Web. 18 Jan 2021.

Vancouver:

Russell NE. Aspects of the symplectic and metric geometry of classical and quantum physics. [Internet] [Thesis]. Rhodes University; 1993. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/10962/d1005237.

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

Council of Science Editors:

Russell NE. Aspects of the symplectic and metric geometry of classical and quantum physics. [Thesis]. Rhodes University; 1993. Available from: http://hdl.handle.net/10962/d1005237

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

Universitat de Barcelona

28. Sáez Calvo, Carles. Finite groups acting on smooth and symplectic 4-manifolds.

Degree: Departament de Matemàtiques i Informàtica, 2019, Universitat de Barcelona

URL: http://hdl.handle.net/10803/667781

► En esta tesis se estudian problemas relacionados con acciones de grupos finitos en 4-variedades diferenciables y simplécticas. Se prueba que toda 4-variedad diferenciable cerrada X… (more)

Subjects/Keywords: Geometria simplèctica; Geometría simpléctica; Symplectic geometry; Grups de transformacions; Grupos de transformaciones; Transformation groups; Varietats diferenciables; Variedades diferenciables; Differentiable manifolds; Ciències Experimentals i Matemàtiques; 51

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Sáez Calvo, C. (2019). Finite groups acting on smooth and symplectic 4-manifolds. (Thesis). Universitat de Barcelona. Retrieved from http://hdl.handle.net/10803/667781

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):

Sáez Calvo, Carles. “Finite groups acting on smooth and symplectic 4-manifolds.” 2019. Thesis, Universitat de Barcelona. Accessed January 18, 2021. http://hdl.handle.net/10803/667781.

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

MLA Handbook (7^th Edition):

Sáez Calvo, Carles. “Finite groups acting on smooth and symplectic 4-manifolds.” 2019. Web. 18 Jan 2021.

Vancouver:

Sáez Calvo C. Finite groups acting on smooth and symplectic 4-manifolds. [Internet] [Thesis]. Universitat de Barcelona; 2019. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/10803/667781.

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

Council of Science Editors:

Sáez Calvo C. Finite groups acting on smooth and symplectic 4-manifolds. [Thesis]. Universitat de Barcelona; 2019. Available from: http://hdl.handle.net/10803/667781

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

University of New Mexico

29. Pati, Justin. Contact homology of toric contact manifolds of Reeb type.

Degree: Mathematics & Statistics, 2010, University of New Mexico

URL: http://hdl.handle.net/1928/11193

► We use contact homology to distinguish contact structures on various manifolds. We are primarily interested in contact manifolds which admit an action of Reeb type… (more)

Subjects/Keywords: Contact manifolds; Symplectic and contact topology; Toric varieties; Orbifolds; Homology theory.

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Pati, J. (2010). Contact homology of toric contact manifolds of Reeb type. (Doctoral Dissertation). University of New Mexico. Retrieved from http://hdl.handle.net/1928/11193

Chicago Manual of Style (16^th Edition):

Pati, Justin. “Contact homology of toric contact manifolds of Reeb type.” 2010. Doctoral Dissertation, University of New Mexico. Accessed January 18, 2021. http://hdl.handle.net/1928/11193.

MLA Handbook (7^th Edition):

Pati, Justin. “Contact homology of toric contact manifolds of Reeb type.” 2010. Web. 18 Jan 2021.

Vancouver:

Pati J. Contact homology of toric contact manifolds of Reeb type. [Internet] [Doctoral dissertation]. University of New Mexico; 2010. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/1928/11193.

Council of Science Editors:

Pati J. Contact homology of toric contact manifolds of Reeb type. [Doctoral Dissertation]. University of New Mexico; 2010. Available from: http://hdl.handle.net/1928/11193

Université de Montréal

30. Rieser, Antonio P. Éclatement et contraction lagrangiens et applications.

Degree: 2010, Université de Montréal

URL: http://hdl.handle.net/1866/4532

Subjects/Keywords: Symplectique; Quatre-variétés; Sous-variété lagrangienne; Packing; Packing relatif; Involution anti-symplectique; Variété réelle; Real symplectic manifolds; Relative packing; Anti-symplectic involution; Four-manifolds; Symplectic; Mathematics / Mathématiques (UMI : 0405)

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Rieser, A. P. (2010). Éclatement et contraction lagrangiens et applications. (Thesis). Université de Montréal. Retrieved from http://hdl.handle.net/1866/4532

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):

Rieser, Antonio P. “Éclatement et contraction lagrangiens et applications.” 2010. Thesis, Université de Montréal. Accessed January 18, 2021. http://hdl.handle.net/1866/4532.

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

MLA Handbook (7^th Edition):

Rieser, Antonio P. “Éclatement et contraction lagrangiens et applications.” 2010. Web. 18 Jan 2021.

Vancouver:

Rieser AP. Éclatement et contraction lagrangiens et applications. [Internet] [Thesis]. Université de Montréal; 2010. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/1866/4532.

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

Council of Science Editors:

Rieser AP. Éclatement et contraction lagrangiens et applications. [Thesis]. Université de Montréal; 2010. Available from: http://hdl.handle.net/1866/4532

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

Open Access Theses and Dissertations