subject:(symplectic topology)

University of Minnesota

1. Wu, Weiwei. Lagrangian spheres, symplectic surfaces and the symplectic mapping class group.

Degree: PhD, Mathematics, 2012, University of Minnesota

► Given a Lagrangian sphere in a symplectic 4-manifold (M, &omega) with b=1, we find embedded symplectic surfaces intersecting it minimally. When the Kodaira dimension &kappa… (more)

Subjects/Keywords: Isotopy; Lagrangian; Symplectic topology; Mathematics

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APA (6^th Edition):

Wu, W. (2012). Lagrangian spheres, symplectic surfaces and the symplectic mapping class group. (Doctoral Dissertation). University of Minnesota. Retrieved from http://purl.umn.edu/135850

Chicago Manual of Style (16^th Edition):

Wu, Weiwei. “Lagrangian spheres, symplectic surfaces and the symplectic mapping class group.” 2012. Doctoral Dissertation, University of Minnesota. Accessed March 08, 2021. http://purl.umn.edu/135850.

MLA Handbook (7^th Edition):

Wu, Weiwei. “Lagrangian spheres, symplectic surfaces and the symplectic mapping class group.” 2012. Web. 08 Mar 2021.

Vancouver:

Wu W. Lagrangian spheres, symplectic surfaces and the symplectic mapping class group. [Internet] [Doctoral dissertation]. University of Minnesota; 2012. [cited 2021 Mar 08]. Available from: http://purl.umn.edu/135850.

Council of Science Editors:

Wu W. Lagrangian spheres, symplectic surfaces and the symplectic mapping class group. [Doctoral Dissertation]. University of Minnesota; 2012. Available from: http://purl.umn.edu/135850

Cornell University

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

Degree: PhD, Mathematics, 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

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APA (6^th Edition):

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

Chicago Manual of Style (16^th Edition):

Pendleton, Ian Alexander. “The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds.” 2019. Doctoral Dissertation, Cornell University. Accessed March 08, 2021. http://hdl.handle.net/1813/67332.

MLA Handbook (7^th Edition):

Pendleton, Ian Alexander. “The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds.” 2019. Web. 08 Mar 2021.

Vancouver:

Pendleton IA. The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds. [Internet] [Doctoral dissertation]. Cornell University; 2019. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/1813/67332.

Council of Science Editors:

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

University of Colorado

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

Degree: PhD, Mathematics, 2016, University of Colorado

URL: https://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

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APA (6^th Edition):

Nita, A. (2016). Essential Self-Adjointness of the Symplectic Dirac Operators. (Doctoral Dissertation). University of Colorado. Retrieved from https://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 March 08, 2021. https://scholar.colorado.edu/math_gradetds/45.

MLA Handbook (7^th Edition):

Nita, Alexander. “Essential Self-Adjointness of the Symplectic Dirac Operators.” 2016. Web. 08 Mar 2021.

Vancouver:

Nita A. Essential Self-Adjointness of the Symplectic Dirac Operators. [Internet] [Doctoral dissertation]. University of Colorado; 2016. [cited 2021 Mar 08]. Available from: https://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: https://scholar.colorado.edu/math_gradetds/45

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

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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 March 08, 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. 08 Mar 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 Mar 08]. 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

Louisiana State University

5. 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

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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 March 08, 2021. etd-07142014-122759 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2909.

MLA Handbook (7^th Edition):

Lambert-Cole, Peter. “Invariants of Legendrian products.” 2014. Web. 08 Mar 2021.

Vancouver:

Lambert-Cole P. Invariants of Legendrian products. [Internet] [Doctoral dissertation]. Louisiana State University; 2014. [cited 2021 Mar 08]. 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

University of California – Berkeley

6. Farris, David Michael. The embedded contact homology of nontrivial circle bundles over Riemann surfaces.

Degree: Mathematics, 2011, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/94r885pf

The embedded contact homology (ECH) of a 3-manifold Y is a topological invariant defined using a contact form on Y which counts certain pseudoholomorphic curves in its symplectization. We compute the ECH of nontrivial circle bundles over Riemann surfaces.

Subjects/Keywords: Mathematics; Theoretical mathematics; contact; Floer; geometry; pseudoholomorphic; symplectic; topology

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APA (6^th Edition):

Farris, D. M. (2011). The embedded contact homology of nontrivial circle bundles over Riemann surfaces. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/94r885pf

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):

Farris, David Michael. “The embedded contact homology of nontrivial circle bundles over Riemann surfaces.” 2011. Thesis, University of California – Berkeley. Accessed March 08, 2021. http://www.escholarship.org/uc/item/94r885pf.

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

MLA Handbook (7^th Edition):

Farris, David Michael. “The embedded contact homology of nontrivial circle bundles over Riemann surfaces.” 2011. Web. 08 Mar 2021.

Vancouver:

Farris DM. The embedded contact homology of nontrivial circle bundles over Riemann surfaces. [Internet] [Thesis]. University of California – Berkeley; 2011. [cited 2021 Mar 08]. Available from: http://www.escholarship.org/uc/item/94r885pf.

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

Council of Science Editors:

Farris DM. The embedded contact homology of nontrivial circle bundles over Riemann surfaces. [Thesis]. University of California – Berkeley; 2011. Available from: http://www.escholarship.org/uc/item/94r885pf

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

7. Smith, Jack Edward. Symmetry in monotone Lagrangian Floer theory.

Degree: PhD, 2017, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/267745

► In this thesis we study the self-Floer theory of a monotone Lagrangian submanifold L of a closed symplectic manifold X in the presence of various… (more)

▼ In this thesis we study the self-Floer theory of a monotone Lagrangian submanifold L of a closed symplectic manifold X in the presence of various kinds of symmetry. First we consider the group {Symp}(X, L) of symplectomorphisms of X preserving L setwise, and extend its action on the Oh spectral sequence to coefficients of arbitrary characteristic, working over an enriched Novikov ring. This imposes constraints on the differentials in the spectral sequence which force them to vanish in certain situations. We then specialise to the case where L is K-homogeneous for a compact Lie group K, meaning roughly that X is Kaehler, K acts on X by holomorphic automorphisms, and L is a Lagrangian orbit. By studying holomorphic discs with boundary on L we compute the image of low codimension K-invariant subvarieties of X under the length zero closed-open string map. This places restrictions on the self-Floer cohomology of L which generalise and refine the Auroux-Kontsevich-Seidel criterion. These often result in the need to work over fields of specific positive characteristics in order to obtain non-zero cohomology. The disc analysis is then developed further, with the introduction of the notion of poles and a reflection mechanism for completing holomorphic discs into spheres. This theory is applied to two main families of examples. The first is the collection of four Platonic Lagrangians in quasihomogeneous threefolds of {SL}(2, ℂ), starting with the Chiang Lagrangian in ℂP}³. These were previously studied by Evans and Lekili, who computed the self-Floer cohomology of the latter. We simplify their argument, which is based on an explicit construction of the Biran-Cornea pearl complex, and deal with the remaining three cases. The second is a family of {PSU}(n)-homogeneous Lagrangians in products of projective spaces. Here the presence of both discrete and continuous symmetries leads to some unusual properties: in particular we obtain non-displaceable monotone Lagrangians which are narrow in a strong sense. We also discuss related examples including applications of Perutz's symplectic Gysin sequence and quilt functors. The thesis concludes with a discussion of directions for further research and a collection of technical appendices.

Subjects/Keywords: symplectic topology; Lagrangian submanifold; Floer cohomology; holomorphic disc

1 more image…

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

APA (6^th Edition):

Smith, J. E. (2017). Symmetry in monotone Lagrangian Floer theory. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/267745

Chicago Manual of Style (16^th Edition):

Smith, Jack Edward. “Symmetry in monotone Lagrangian Floer theory.” 2017. Doctoral Dissertation, University of Cambridge. Accessed March 08, 2021. https://www.repository.cam.ac.uk/handle/1810/267745.

MLA Handbook (7^th Edition):

Smith, Jack Edward. “Symmetry in monotone Lagrangian Floer theory.” 2017. Web. 08 Mar 2021.

Vancouver:

Smith JE. Symmetry in monotone Lagrangian Floer theory. [Internet] [Doctoral dissertation]. University of Cambridge; 2017. [cited 2021 Mar 08]. Available from: https://www.repository.cam.ac.uk/handle/1810/267745.

Council of Science Editors:

Smith JE. Symmetry in monotone Lagrangian Floer theory. [Doctoral Dissertation]. University of Cambridge; 2017. Available from: https://www.repository.cam.ac.uk/handle/1810/267745

ETH Zürich

8. Singer, Berit. Lagrangian cobordisms, Lefschetz Fibrations and Quantum Invariants.

Degree: 2019, ETH Zürich

URL: http://hdl.handle.net/20.500.11850/414580

► In this thesis we study Lagrangian cobordisms with the tools provided by Lagrangian quantum homology. In particular, we develop the theory for the setting of… (more)

Subjects/Keywords: Symplectic topology;

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

APA (6^th Edition):

Singer, B. (2019). Lagrangian cobordisms, Lefschetz Fibrations and Quantum Invariants. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/414580

Chicago Manual of Style (16^th Edition):

Singer, Berit. “Lagrangian cobordisms, Lefschetz Fibrations and Quantum Invariants.” 2019. Doctoral Dissertation, ETH Zürich. Accessed March 08, 2021. http://hdl.handle.net/20.500.11850/414580.

MLA Handbook (7^th Edition):

Singer, Berit. “Lagrangian cobordisms, Lefschetz Fibrations and Quantum Invariants.” 2019. Web. 08 Mar 2021.

Vancouver:

Singer B. Lagrangian cobordisms, Lefschetz Fibrations and Quantum Invariants. [Internet] [Doctoral dissertation]. ETH Zürich; 2019. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/20.500.11850/414580.

Council of Science Editors:

Singer B. Lagrangian cobordisms, Lefschetz Fibrations and Quantum Invariants. [Doctoral Dissertation]. ETH Zürich; 2019. Available from: http://hdl.handle.net/20.500.11850/414580

University of Notre Dame

9. James Benn. The L^2 Geometry of the Symplectomorphism Group</h1>.

Degree: Mathematics, 2015, University of Notre Dame

URL: https://curate.nd.edu/show/zs25x636101

► In this thesis we study the geometry of the group of Symplectic diffeomorphisms of a closed Symplectic manifold M, equipped with the L² weak… (more)

Subjects/Keywords: Diffeomorphism Groups; Hilbert Manifold; Euler equations; Symplectic Topology; Conjugate Points

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APA (6^th Edition):

Benn, J. (2015). The L^2 Geometry of the Symplectomorphism Group</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/zs25x636101

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):

Benn, James. “The L^2 Geometry of the Symplectomorphism Group</h1>.” 2015. Thesis, University of Notre Dame. Accessed March 08, 2021. https://curate.nd.edu/show/zs25x636101.

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

MLA Handbook (7^th Edition):

Benn, James. “The L^2 Geometry of the Symplectomorphism Group</h1>.” 2015. Web. 08 Mar 2021.

Vancouver:

Benn J. The L^2 Geometry of the Symplectomorphism Group</h1>. [Internet] [Thesis]. University of Notre Dame; 2015. [cited 2021 Mar 08]. Available from: https://curate.nd.edu/show/zs25x636101.

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

Council of Science Editors:

Benn J. The L^2 Geometry of the Symplectomorphism Group</h1>. [Thesis]. University of Notre Dame; 2015. Available from: https://curate.nd.edu/show/zs25x636101

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

University of Toronto

10. Zoghi, Masrour. The Gromov Width of Coadjoint Orbits of Compact Lie Groups.

Degree: 2010, University of Toronto

URL: http://hdl.handle.net/1807/26269

►

The ﬁrst part of this thesis investigates the Gromov width of maximal dimensional coadjoint orbits of compact simple Lie groups. An upper bound for the… (more)

Subjects/Keywords: Symplectic Topology; Lie Theory; 0405

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

APA (6^th Edition):

Zoghi, M. (2010). The Gromov Width of Coadjoint Orbits of Compact Lie Groups. (Doctoral Dissertation). University of Toronto. Retrieved from http://hdl.handle.net/1807/26269

Chicago Manual of Style (16^th Edition):

Zoghi, Masrour. “The Gromov Width of Coadjoint Orbits of Compact Lie Groups.” 2010. Doctoral Dissertation, University of Toronto. Accessed March 08, 2021. http://hdl.handle.net/1807/26269.

MLA Handbook (7^th Edition):

Zoghi, Masrour. “The Gromov Width of Coadjoint Orbits of Compact Lie Groups.” 2010. Web. 08 Mar 2021.

Vancouver:

Zoghi M. The Gromov Width of Coadjoint Orbits of Compact Lie Groups. [Internet] [Doctoral dissertation]. University of Toronto; 2010. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/1807/26269.

Council of Science Editors:

Zoghi M. The Gromov Width of Coadjoint Orbits of Compact Lie Groups. [Doctoral Dissertation]. University of Toronto; 2010. Available from: http://hdl.handle.net/1807/26269

11. Smith, Jack Edward. Symmetry in monotone Lagrangian Floer theory.

Degree: PhD, 2017, University of Cambridge

URL: https://doi.org/10.17863/CAM.13678 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.725533

► In this thesis we study the self-Floer theory of a monotone Lagrangian submanifold L of a closed symplectic manifold X in the presence of various… (more)

▼ In this thesis we study the self-Floer theory of a monotone Lagrangian submanifold L of a closed symplectic manifold X in the presence of various kinds of symmetry. First we consider the group {Symp}(X, L) of symplectomorphisms of X preserving L setwise, and extend its action on the Oh spectral sequence to coefficients of arbitrary characteristic, working over an enriched Novikov ring. This imposes constraints on the differentials in the spectral sequence which force them to vanish in certain situations. We then specialise to the case where L is K-homogeneous for a compact Lie group K, meaning roughly that X is Kaehler, K acts on X by holomorphic automorphisms, and L is a Lagrangian orbit. By studying holomorphic discs with boundary on L we compute the image of low codimension K-invariant subvarieties of X under the length zero closed-open string map. This places restrictions on the self-Floer cohomology of L which generalise and refine the Auroux-Kontsevich-Seidel criterion. These often result in the need to work over fields of specific positive characteristics in order to obtain non-zero cohomology. The disc analysis is then developed further, with the introduction of the notion of poles and a reflection mechanism for completing holomorphic discs into spheres. This theory is applied to two main families of examples. The first is the collection of four Platonic Lagrangians in quasihomogeneous threefolds of {SL}(2, ℂ), starting with the Chiang Lagrangian in ℂP}³. These were previously studied by Evans and Lekili, who computed the self-Floer cohomology of the latter. We simplify their argument, which is based on an explicit construction of the Biran-Cornea pearl complex, and deal with the remaining three cases. The second is a family of {PSU}(n)-homogeneous Lagrangians in products of projective spaces. Here the presence of both discrete and continuous symmetries leads to some unusual properties: in particular we obtain non-displaceable monotone Lagrangians which are narrow in a strong sense. We also discuss related examples including applications of Perutz's symplectic Gysin sequence and quilt functors. The thesis concludes with a discussion of directions for further research and a collection of technical appendices.

Subjects/Keywords: 514; symplectic topology; Lagrangian submanifold; Floer cohomology; holomorphic disc

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

APA (6^th Edition):

Smith, J. E. (2017). Symmetry in monotone Lagrangian Floer theory. (Doctoral Dissertation). University of Cambridge. Retrieved from https://doi.org/10.17863/CAM.13678 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.725533

Chicago Manual of Style (16^th Edition):

Smith, Jack Edward. “Symmetry in monotone Lagrangian Floer theory.” 2017. Doctoral Dissertation, University of Cambridge. Accessed March 08, 2021. https://doi.org/10.17863/CAM.13678 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.725533.

MLA Handbook (7^th Edition):

Smith, Jack Edward. “Symmetry in monotone Lagrangian Floer theory.” 2017. Web. 08 Mar 2021.

Vancouver:

Smith JE. Symmetry in monotone Lagrangian Floer theory. [Internet] [Doctoral dissertation]. University of Cambridge; 2017. [cited 2021 Mar 08]. Available from: https://doi.org/10.17863/CAM.13678 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.725533.

Council of Science Editors:

Smith JE. Symmetry in monotone Lagrangian Floer theory. [Doctoral Dissertation]. University of Cambridge; 2017. Available from: https://doi.org/10.17863/CAM.13678 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.725533

12. Monzner, Alexandra. Partial quasi-morphisms and symplectic quasi-integrals on cotangent bundles.

Degree: 2012, Technische Universität Dortmund

URL: http://hdl.handle.net/2003/29650

Subjects/Keywords: Quasi-morphisms; Special invariants; Symplectic homogenization; Symplectic topology; 510

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

APA (6^th Edition):

Monzner, A. (2012). Partial quasi-morphisms and symplectic quasi-integrals on cotangent bundles. (Thesis). Technische Universität Dortmund. Retrieved from http://hdl.handle.net/2003/29650

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):

Monzner, Alexandra. “Partial quasi-morphisms and symplectic quasi-integrals on cotangent bundles.” 2012. Thesis, Technische Universität Dortmund. Accessed March 08, 2021. http://hdl.handle.net/2003/29650.

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

MLA Handbook (7^th Edition):

Monzner, Alexandra. “Partial quasi-morphisms and symplectic quasi-integrals on cotangent bundles.” 2012. Web. 08 Mar 2021.

Vancouver:

Monzner A. Partial quasi-morphisms and symplectic quasi-integrals on cotangent bundles. [Internet] [Thesis]. Technische Universität Dortmund; 2012. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/2003/29650.

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

Council of Science Editors:

Monzner A. Partial quasi-morphisms and symplectic quasi-integrals on cotangent bundles. [Thesis]. Technische Universität Dortmund; 2012. Available from: http://hdl.handle.net/2003/29650

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

13. Monzner, Alexandra. Partial quasi-morphisms and symplectic quasi-integrals on cotangent bundles.

Degree: 2012, Technische Universität Dortmund

URL: http://dx.doi.org/10.17877/DE290R-5393

Subjects/Keywords: Quasi-morphisms; Special invariants; Symplectic homogenization; Symplectic topology; 510

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

APA (6^th Edition):

Monzner, A. (2012). Partial quasi-morphisms and symplectic quasi-integrals on cotangent bundles. (Doctoral Dissertation). Technische Universität Dortmund. Retrieved from http://dx.doi.org/10.17877/DE290R-5393

Chicago Manual of Style (16^th Edition):

Monzner, Alexandra. “Partial quasi-morphisms and symplectic quasi-integrals on cotangent bundles.” 2012. Doctoral Dissertation, Technische Universität Dortmund. Accessed March 08, 2021. http://dx.doi.org/10.17877/DE290R-5393.

MLA Handbook (7^th Edition):

Monzner, Alexandra. “Partial quasi-morphisms and symplectic quasi-integrals on cotangent bundles.” 2012. Web. 08 Mar 2021.

Vancouver:

Monzner A. Partial quasi-morphisms and symplectic quasi-integrals on cotangent bundles. [Internet] [Doctoral dissertation]. Technische Universität Dortmund; 2012. [cited 2021 Mar 08]. Available from: http://dx.doi.org/10.17877/DE290R-5393.

Council of Science Editors:

Monzner A. Partial quasi-morphisms and symplectic quasi-integrals on cotangent bundles. [Doctoral Dissertation]. Technische Universität Dortmund; 2012. Available from: http://dx.doi.org/10.17877/DE290R-5393

Indian Institute of Science

14. 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

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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 March 08, 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. 08 Mar 2021.

Vancouver:

Kulkarni D. Relative Symplectic Caps, Fibered Knots And 4-Genus. [Internet] [Doctoral dissertation]. Indian Institute of Science; 2014. [cited 2021 Mar 08]. 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

University of Western Ontario

15. VanHoof, Martin L. Symplectomorphism Groups of Weighted Projective Spaces and Related Embedding Spaces.

Degree: 2013, University of Western Ontario

URL: https://ir.lib.uwo.ca/etd/1868

► In this thesis, we study 4-dimensional weighted projective spaces and homotopy properties of their symplectomorphism groups. Using these computations, we also investigate some homotopy theoretic… (more)

Subjects/Keywords: symplectic orbifold; weighted projective space; symplectomorphism group; toric orbifold; Geometry and Topology

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APA (6^th Edition):

VanHoof, M. L. (2013). Symplectomorphism Groups of Weighted Projective Spaces and Related Embedding Spaces. (Thesis). University of Western Ontario. Retrieved from https://ir.lib.uwo.ca/etd/1868

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):

VanHoof, Martin L. “Symplectomorphism Groups of Weighted Projective Spaces and Related Embedding Spaces.” 2013. Thesis, University of Western Ontario. Accessed March 08, 2021. https://ir.lib.uwo.ca/etd/1868.

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

MLA Handbook (7^th Edition):

VanHoof, Martin L. “Symplectomorphism Groups of Weighted Projective Spaces and Related Embedding Spaces.” 2013. Web. 08 Mar 2021.

Vancouver:

VanHoof ML. Symplectomorphism Groups of Weighted Projective Spaces and Related Embedding Spaces. [Internet] [Thesis]. University of Western Ontario; 2013. [cited 2021 Mar 08]. Available from: https://ir.lib.uwo.ca/etd/1868.

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

Council of Science Editors:

VanHoof ML. Symplectomorphism Groups of Weighted Projective Spaces and Related Embedding Spaces. [Thesis]. University of Western Ontario; 2013. Available from: https://ir.lib.uwo.ca/etd/1868

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

16. Khodorovskiy, Tatyana. Symplectic Rational Blow-Up and Embeddings of Rational Homology Balls.

Degree: PhD, Mathematics, 2012, Harvard University

URL: http://nrs.harvard.edu/urn-3:HUL.InstRepos:9572269

►

We define the symplectic rational blow-up operation, for a family of rational homology balls (B_n), which appeared in Fintushel and Stern's rational blow-down construction. We… (more)

Subjects/Keywords: embeddings; rational homology balls; symplectic; topology; mathematics

…complex structures. For a full exposition of symplectic geometry and topology, we refer the… …contact topology, as well as Stein surfaces. 11 2.2.1. Symplectic structures. We will discuss… …performed in the symplectic category. More precisely, she showed that if in a symplectic 4… …manifold (M, ω) there is a symplectic embedding of a configuration Cn of symplectic… …spheres, then there exists a symplectic model for Bn such that the rational blow-down of (M…

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APA (6^th Edition):

Khodorovskiy, T. (2012). Symplectic Rational Blow-Up and Embeddings of Rational Homology Balls. (Doctoral Dissertation). Harvard University. Retrieved from http://nrs.harvard.edu/urn-3:HUL.InstRepos:9572269

Chicago Manual of Style (16^th Edition):

Khodorovskiy, Tatyana. “Symplectic Rational Blow-Up and Embeddings of Rational Homology Balls.” 2012. Doctoral Dissertation, Harvard University. Accessed March 08, 2021. http://nrs.harvard.edu/urn-3:HUL.InstRepos:9572269.

MLA Handbook (7^th Edition):

Khodorovskiy, Tatyana. “Symplectic Rational Blow-Up and Embeddings of Rational Homology Balls.” 2012. Web. 08 Mar 2021.

Vancouver:

Khodorovskiy T. Symplectic Rational Blow-Up and Embeddings of Rational Homology Balls. [Internet] [Doctoral dissertation]. Harvard University; 2012. [cited 2021 Mar 08]. Available from: http://nrs.harvard.edu/urn-3:HUL.InstRepos:9572269.

Council of Science Editors:

Khodorovskiy T. Symplectic Rational Blow-Up and Embeddings of Rational Homology Balls. [Doctoral Dissertation]. Harvard University; 2012. Available from: http://nrs.harvard.edu/urn-3:HUL.InstRepos:9572269

Michigan State University

17. 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

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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 March 08, 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. 08 Mar 2021.

Vancouver:

Baykur RI. Symplectic structures, Lefschetz fibrations and their generalizations on smooth four-manifolds. [Internet] [Doctoral dissertation]. Michigan State University; 2007. [cited 2021 Mar 08]. 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

The Ohio State University

18. Kennedy, Chris A. Construction of Maps by Postnikov Towers.

Degree: PhD, Mathematics, 2018, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1533034197206461

► Using Postnikov towers, we investigate the possible degrees of self-maps of variousspaces, including SU(3), Sp(2), SU(4), and the principal Sp(1)-bundles over S⁷. Thisinvestigation requires determining… (more)

Subjects/Keywords: Mathematics; algebraic topology; Postnikov towers; secondary cohomology operations; higher cohomology operations; special unitary group; symplectic group; H-spaces; fiber bundles

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APA (6^th Edition):

Kennedy, C. A. (2018). Construction of Maps by Postnikov Towers. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1533034197206461

Chicago Manual of Style (16^th Edition):

Kennedy, Chris A. “Construction of Maps by Postnikov Towers.” 2018. Doctoral Dissertation, The Ohio State University. Accessed March 08, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=osu1533034197206461.

MLA Handbook (7^th Edition):

Kennedy, Chris A. “Construction of Maps by Postnikov Towers.” 2018. Web. 08 Mar 2021.

Vancouver:

Kennedy CA. Construction of Maps by Postnikov Towers. [Internet] [Doctoral dissertation]. The Ohio State University; 2018. [cited 2021 Mar 08]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1533034197206461.

Council of Science Editors:

Kennedy CA. Construction of Maps by Postnikov Towers. [Doctoral Dissertation]. The Ohio State University; 2018. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1533034197206461

19. Alves, Marcelo Ribeiro de Resende. Sur les relations entre la topologie de contact et la dynamique de champs de Reeb : On the relationship between contact topology and the dynamics of Reeb flows.

Degree: Docteur es, Mathématiques fondamentales, 2015, Université Paris-Saclay (ComUE)

URL: http://www.theses.fr/2015SACLS084

►

L'objectif de cette thèse est d'investiguer les relations entre les propriétés topologiques d'une variété de contact et la dynamique des flots de Reeb dans la… (more)

▼

L'objectif de cette thèse est d'investiguer les relations entre les propriétés topologiques d'une variété de contact et la dynamique des flots de Reeb dans la variété de contact en question. Dans la première partie de la thèse, nous établissons une relation entre la croissance de l’homologie de contact cylindrique d'une variété de contact et l'entropie topologique des flots de Reeb dans cette variété de contact. Nous utilisons ce résultat dans les chapitres 8 et 9 pour montrer l'existence d'un grand nombre des nouvelles variétés de contact de dimension 3 dans lesquelles tous les flots de Reeb ont entropie topologique positive. Dans le chapitre 10, nous prouvons un résultat obtenu en collaboration avec Chris Wendl qui donne une obstruction dynamique pour qu'une variété de contact de dimension 3 soit planaire. Cette obstruction est utilisée pour montrer que, si une variété de contact de dimension 3 possède un flot de Reeb qui est uniformément hyperbolique (Anosov) avec variétés invariantes traversalement orientables, alors cette variété de contact n'est pas planaire. Dans le chapitre 11, nous étudions l'entropie topologique des flots de Reeb dans les fibrés unitaires des surfaces de genre plus grand que 1. Nous montrons que la restriction de chaque flot de Reeb en au ensemble limite de presque toute fibre unitaire a une entropie topologique positive.

In this thesis we study the relations between the contact topological properties of contact manifolds and the dynamics of Reeb flows. On the first part of the thesis, we establish a relation between the growth of the cylindrical contact homology of a contact manifold and the topological entropy of Reeb flows on this manifold. We build on this to show in Chapter 6 that if a contact manifold M admits a hypertight contact form A for which the cylindrical contact homology has exponential homotopical growth rate, then the Reeb flow of every contact form on M has positive topological entropy. Using this result, we exhibit in Chapter 8 and 9 numerous new examples of contact 3-manifolds on which every Reeb flow has positive topological entropy. On Chapter 10 we present a joint result with Chris Wendl that gives a dynamical obstruction for contact 3-manifold to be planar. We then use the obstruction to show that a contact 3-manifold that possesses a Reeb flow that is a transversely orientable Anosov flow, cannot be planar. On Chapter 11 we study the topological entropy for Reeb flows on spherizations. The result we obtain is a refinement of a result of Macarini and Schlenk, that states that every Reeb flow on the unit tangent bundle U of a high genus surface S has positive topological entropy. We show that for any Reeb flow on U, the omega-limit of almost every Legendrian fiber is a compact invariant set on which the dynamics has positive topological entropy.

Advisors/Committee Members: Bourgeois, Frédéric (thesis director).

Subjects/Keywords: Topologie symplectique et de contact; Champs de Reeb; Entropie topologique; Systèmes hamiltoniens; Symplectic and contact topology; Reeb flows; Topological entropy; Hamiltonian systems

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APA (6^th Edition):

Alves, M. R. d. R. (2015). Sur les relations entre la topologie de contact et la dynamique de champs de Reeb : On the relationship between contact topology and the dynamics of Reeb flows. (Doctoral Dissertation). Université Paris-Saclay (ComUE). Retrieved from http://www.theses.fr/2015SACLS084

Chicago Manual of Style (16^th Edition):

Alves, Marcelo Ribeiro de Resende. “Sur les relations entre la topologie de contact et la dynamique de champs de Reeb : On the relationship between contact topology and the dynamics of Reeb flows.” 2015. Doctoral Dissertation, Université Paris-Saclay (ComUE). Accessed March 08, 2021. http://www.theses.fr/2015SACLS084.

MLA Handbook (7^th Edition):

Alves, Marcelo Ribeiro de Resende. “Sur les relations entre la topologie de contact et la dynamique de champs de Reeb : On the relationship between contact topology and the dynamics of Reeb flows.” 2015. Web. 08 Mar 2021.

Vancouver:

Alves MRdR. Sur les relations entre la topologie de contact et la dynamique de champs de Reeb : On the relationship between contact topology and the dynamics of Reeb flows. [Internet] [Doctoral dissertation]. Université Paris-Saclay (ComUE); 2015. [cited 2021 Mar 08]. Available from: http://www.theses.fr/2015SACLS084.

Council of Science Editors:

Alves MRdR. Sur les relations entre la topologie de contact et la dynamique de champs de Reeb : On the relationship between contact topology and the dynamics of Reeb flows. [Doctoral Dissertation]. Université Paris-Saclay (ComUE); 2015. Available from: http://www.theses.fr/2015SACLS084

University of New Mexico

20. 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.

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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 March 08, 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. 08 Mar 2021.

Vancouver:

Pati J. Contact homology of toric contact manifolds of Reeb type. [Internet] [Doctoral dissertation]. University of New Mexico; 2010. [cited 2021 Mar 08]. 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

University of Texas – Austin

21. Williams, Jonathan Dunklin. Broken Lefschetz fibrations on smooth four-manifolds.

Degree: PhD, Mathematics, 2010, University of Texas – Austin

URL: http://hdl.handle.net/2152/ETD-UT-2010-05-841

► It is known that an arbitrary smooth, oriented four-manifold admits the structure of what is called a broken Lefschetz fibration. Given a broken Lefschetz fibration,… (more)

Subjects/Keywords: Manifold; 4-manifold; topology; Lefschetz; fibration; Broken; Symplectic; Smooth; singularity

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

APA (6^th Edition):

Williams, J. D. (2010). Broken Lefschetz fibrations on smooth four-manifolds. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/ETD-UT-2010-05-841

Chicago Manual of Style (16^th Edition):

Williams, Jonathan Dunklin. “Broken Lefschetz fibrations on smooth four-manifolds.” 2010. Doctoral Dissertation, University of Texas – Austin. Accessed March 08, 2021. http://hdl.handle.net/2152/ETD-UT-2010-05-841.

MLA Handbook (7^th Edition):

Williams, Jonathan Dunklin. “Broken Lefschetz fibrations on smooth four-manifolds.” 2010. Web. 08 Mar 2021.

Vancouver:

Williams JD. Broken Lefschetz fibrations on smooth four-manifolds. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2010. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/2152/ETD-UT-2010-05-841.

Council of Science Editors:

Williams JD. Broken Lefschetz fibrations on smooth four-manifolds. [Doctoral Dissertation]. University of Texas – Austin; 2010. Available from: http://hdl.handle.net/2152/ETD-UT-2010-05-841

Université de Montréal

22. Rathel-Fournier, Dominique. Rigidité du crochet de Poisson en topologie symplectique.

Degree: 2018, Université de Montréal

URL: http://hdl.handle.net/1866/20208

Subjects/Keywords: Topologie symplectique; Crochet de Poisson; Dynamique hamiltonienne; Géométrie d'Hofer; Rigidité symplectique; Symplectic topology; Poisson bracket; Hamiltonian dynamics; Hofer geometry; Symplectic rigidity; Mathematics / Mathématiques (UMI : 0405)

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APA (6^th Edition):

Rathel-Fournier, D. (2018). Rigidité du crochet de Poisson en topologie symplectique. (Thesis). Université de Montréal. Retrieved from http://hdl.handle.net/1866/20208

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):

Rathel-Fournier, Dominique. “Rigidité du crochet de Poisson en topologie symplectique.” 2018. Thesis, Université de Montréal. Accessed March 08, 2021. http://hdl.handle.net/1866/20208.

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

MLA Handbook (7^th Edition):

Rathel-Fournier, Dominique. “Rigidité du crochet de Poisson en topologie symplectique.” 2018. Web. 08 Mar 2021.

Vancouver:

Rathel-Fournier D. Rigidité du crochet de Poisson en topologie symplectique. [Internet] [Thesis]. Université de Montréal; 2018. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/1866/20208.

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

Council of Science Editors:

Rathel-Fournier D. Rigidité du crochet de Poisson en topologie symplectique. [Thesis]. Université de Montréal; 2018. Available from: http://hdl.handle.net/1866/20208

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

Université de Montréal

23. Ngô, Fabien. Structures quantiques de certaines sous-variétés lagrangiennes non-monotones.

Degree: 2010, Université de Montréal

URL: http://hdl.handle.net/1866/4526

Subjects/Keywords: Topologie symplectique; Symplectic topology; Sous-variétés lagrangiennes; Lagrangian submanifold; Homologie quantique; Quantum homology; Homologie des perles; Pearl homology; capacité symplectique; symplectic capacity; Mathematics / Mathématiques (UMI : 0405)

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APA (6^th Edition):

Ngô, F. (2010). Structures quantiques de certaines sous-variétés lagrangiennes non-monotones. (Thesis). Université de Montréal. Retrieved from http://hdl.handle.net/1866/4526

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):

Ngô, Fabien. “Structures quantiques de certaines sous-variétés lagrangiennes non-monotones.” 2010. Thesis, Université de Montréal. Accessed March 08, 2021. http://hdl.handle.net/1866/4526.

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

MLA Handbook (7^th Edition):

Ngô, Fabien. “Structures quantiques de certaines sous-variétés lagrangiennes non-monotones.” 2010. Web. 08 Mar 2021.

Vancouver:

Ngô F. Structures quantiques de certaines sous-variétés lagrangiennes non-monotones. [Internet] [Thesis]. Université de Montréal; 2010. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/1866/4526.

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

Council of Science Editors:

Ngô F. Structures quantiques de certaines sous-variétés lagrangiennes non-monotones. [Thesis]. Université de Montréal; 2010. Available from: http://hdl.handle.net/1866/4526

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

24. Lee, Sangjin. Towards a higher dimensional construction of stable/unstable Lagrangian laminations.

Degree: Mathematics, 2019, UCLA

URL: http://www.escholarship.org/uc/item/95q4165w

► We generalize some properties of surface automorphisms of pseudo-Anosov type.First, we generalize the Penner construction of a pseudo-Anosov homeomorphismand show that a symplectic automorphism which… (more)

Subjects/Keywords: Mathematics; Lagrangian branched submanifold; Lagrangian Floer homology; Lagrangian lamination; pseudo-Anosov; Symplectic Topology

…n ≥ 2, then specific choices of plumbing points do not change the symplectic topology of P… …dimensional lamination L on a symplectic manifold (M 2n , ω) is a Lagrangian lamination if… …One of them is to find a symplectic automorphism ψ on a symplectic manifold M of dimension… …slightly weaker version of the question is to define a symplectic automorphism ψ with invariant… …1.5, which answer the latter question. ∼ Theorem 1.2. Let M be a symplectic manifold and…

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APA (6^th Edition):

Lee, S. (2019). Towards a higher dimensional construction of stable/unstable Lagrangian laminations. (Thesis). UCLA. Retrieved from http://www.escholarship.org/uc/item/95q4165w

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):

Lee, Sangjin. “Towards a higher dimensional construction of stable/unstable Lagrangian laminations.” 2019. Thesis, UCLA. Accessed March 08, 2021. http://www.escholarship.org/uc/item/95q4165w.

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

MLA Handbook (7^th Edition):

Lee, Sangjin. “Towards a higher dimensional construction of stable/unstable Lagrangian laminations.” 2019. Web. 08 Mar 2021.

Vancouver:

Lee S. Towards a higher dimensional construction of stable/unstable Lagrangian laminations. [Internet] [Thesis]. UCLA; 2019. [cited 2021 Mar 08]. Available from: http://www.escholarship.org/uc/item/95q4165w.

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

Council of Science Editors:

Lee S. Towards a higher dimensional construction of stable/unstable Lagrangian laminations. [Thesis]. UCLA; 2019. Available from: http://www.escholarship.org/uc/item/95q4165w

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

25. Bisgaard, Mads R. Quantitative Aspects of Lagrangian Cobordism Theory and Mather-Floer Theory.

Degree: 2018, ETH Zürich

URL: http://hdl.handle.net/20.500.11850/315031

Subjects/Keywords: Symplectic topology;

…Modern symplectic topology/geometry studies (among other things) topological and… …exhibited by Lagrangian cobordisms. At its early stages, symplectic topology was mostly developed… …symplectic topology has a quantitative side to it. Later such phenomena were formalized by Ekeland… …quantitative story of symplectic topology arose when Hofer [48] asked the question "… …x29; Hamiltonian systems using tools coming from symplectic topology. The ﬁrst part of the…

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APA (6^th Edition):

Bisgaard, M. R. (2018). Quantitative Aspects of Lagrangian Cobordism Theory and Mather-Floer Theory. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/315031

Chicago Manual of Style (16^th Edition):

Bisgaard, Mads R. “Quantitative Aspects of Lagrangian Cobordism Theory and Mather-Floer Theory.” 2018. Doctoral Dissertation, ETH Zürich. Accessed March 08, 2021. http://hdl.handle.net/20.500.11850/315031.

MLA Handbook (7^th Edition):

Bisgaard, Mads R. “Quantitative Aspects of Lagrangian Cobordism Theory and Mather-Floer Theory.” 2018. Web. 08 Mar 2021.

Vancouver:

Bisgaard MR. Quantitative Aspects of Lagrangian Cobordism Theory and Mather-Floer Theory. [Internet] [Doctoral dissertation]. ETH Zürich; 2018. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/20.500.11850/315031.

Council of Science Editors:

Bisgaard MR. Quantitative Aspects of Lagrangian Cobordism Theory and Mather-Floer Theory. [Doctoral Dissertation]. ETH Zürich; 2018. Available from: http://hdl.handle.net/20.500.11850/315031

26. Cazassus, Guillem. Homologie instanton-symplectique : somme connexe, chirurgie de Dehn, et applications induites par cobordismes : Symplectic instanton homology : connected sum, Dehn surgery, and maps from cobordisms.

Degree: Docteur es, Mathématiques fondamentales, 2016, Université Toulouse III – Paul Sabatier

URL: http://www.theses.fr/2016TOU30043

►

L'homologie instanton-symplectique est un invariant associé à une variété de dimension trois close orientée, qui a été dé?ni par Manolescu et Woodward, et qui correspond… (more)

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L'homologie instanton-symplectique est un invariant associé à une variété de dimension trois close orientée, qui a été dé?ni par Manolescu et Woodward, et qui correspond conjecturalement à une version symplectique d'une homologie des instantons de Floer. Dans cette thèse nous étudions le comportement de cet invariant sous l'effet d'une somme connexe, d'une chirurgie de Dehn, et d'un cobordisme de dimension quatre. Nous établissons une formule de Künneth pour la somme connexe : si Y et Y' désignent deux variétés closes orientées de dimension trois, l'homologie instanton-symplectique associée à leur somme connexe est isomorphe à la somme directe du produit tensoriel de leurs groupes d'homologie instantonsymplectique respectifs, et de leur produit de torsion (après décalage des degrés). Nous définissons des versions tordues de cette homologie, et prouvons un analogue de la suite exacte de Floer, reliant les groupes associés à une triade de chirurgie. Cette suite exacte nous permet de calculer le rang des groupes associés à des familles de variétés, notamment les revêtements doubles ramifiés d'entrelacs quasi-alternés, des chirurgies entières de grande pente le long de certains noeuds, ainsi que certaines variétés obtenues par plombage de fibrés en disques au-dessus de sphères. Nous définissons enfin des invariants pour des cobordismes de dimension 4 prenant la forme d'applications entre groupes d'homologie instantonsymplectique des bords, et prouvons que deux des morphismes intervenant dans la suite exacte de chirurgie s'interprètent comme de telles applications, associées aux cobordismes d'attachement d'anses. Nous donnons également un critère d'annulation pour de telles applications associées à des éclatements.

Symplectic instanton homology is an invariant for closed oriented three-manifolds, defined by Manolescu and Woodward, which conjecturally corresponds to a symplectic version of a variant of Floer's instanton homology. In this thesis we study the behaviour of this invariant under connected sum, Dehn surgery, and four-dimensional cobordisms. We prove a Künneth-type formula for the connected sum: let Y and Y' be two closed oriented three-manifolds, we show that the symplectic instanton homology of their connected sum is isomorphic to the direct sum of the tensor product of their symplectic instanton homology, and a shift of their torsion product. We define twisted versions of this homology, and then prove an analog of the Floer exact sequence, relating the invariants of a Dehn surgery triad. We use this exact sequence to compute the rank of the groups associated to branched double covers of quasi-alternating links, some plumbings of disc bundles over spheres, and some integral Dehn surgeries along certain knots. We then define invariants for four dimensional cobordisms as maps between the symplectic instanton homology of the two boundaries. We show that among the three morphisms in the surgery exact sequence, two are such maps, associated to the handle-attachment cobordisms. We also give a vanishing criteria…

Advisors/Committee Members: Boileau, Michel (thesis director), Ghiggini, Paolo (thesis director).

Subjects/Keywords: Topologie de basse dimension; Chirurgie de Dehn; Géométrie symplectique; Homologie de Floer; Courbes pseudo-holomorphes; Théorie de jauge; Espace des modules de connexions; Low-dimensional topology; Dehn surgery; Symplectic geometry; Floer homology; Pseudo-holomorphic curves; Gauge theory; Moduli spaces of connections

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

APA (6^th Edition):

Cazassus, G. (2016). Homologie instanton-symplectique : somme connexe, chirurgie de Dehn, et applications induites par cobordismes : Symplectic instanton homology : connected sum, Dehn surgery, and maps from cobordisms. (Doctoral Dissertation). Université Toulouse III – Paul Sabatier. Retrieved from http://www.theses.fr/2016TOU30043

Chicago Manual of Style (16^th Edition):

Cazassus, Guillem. “Homologie instanton-symplectique : somme connexe, chirurgie de Dehn, et applications induites par cobordismes : Symplectic instanton homology : connected sum, Dehn surgery, and maps from cobordisms.” 2016. Doctoral Dissertation, Université Toulouse III – Paul Sabatier. Accessed March 08, 2021. http://www.theses.fr/2016TOU30043.

MLA Handbook (7^th Edition):

Cazassus, Guillem. “Homologie instanton-symplectique : somme connexe, chirurgie de Dehn, et applications induites par cobordismes : Symplectic instanton homology : connected sum, Dehn surgery, and maps from cobordisms.” 2016. Web. 08 Mar 2021.

Vancouver:

Cazassus G. Homologie instanton-symplectique : somme connexe, chirurgie de Dehn, et applications induites par cobordismes : Symplectic instanton homology : connected sum, Dehn surgery, and maps from cobordisms. [Internet] [Doctoral dissertation]. Université Toulouse III – Paul Sabatier; 2016. [cited 2021 Mar 08]. Available from: http://www.theses.fr/2016TOU30043.

Council of Science Editors:

Cazassus G. Homologie instanton-symplectique : somme connexe, chirurgie de Dehn, et applications induites par cobordismes : Symplectic instanton homology : connected sum, Dehn surgery, and maps from cobordisms. [Doctoral Dissertation]. Université Toulouse III – Paul Sabatier; 2016. Available from: http://www.theses.fr/2016TOU30043

Arizona State University

27. Sanborn, Barbara. Symplectic Topology and Geometric Quantum Mechanics.

Degree: PhD, Mathematics, 2011, Arizona State University

URL: http://repository.asu.edu/items/9478

► The theory of geometric quantum mechanics describes a quantum system as a Hamiltonian dynamical system, with a projective Hilbert space regarded as the phase space.… (more)

Subjects/Keywords: Mathematics; Quantum physics; Condensed Matter Physics; adiabatic theorem; geometric quantum mechanics; J-holomorphic curves; mean curvature; symplectic topology; uncertainty principle

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

APA (6^th Edition):

Sanborn, B. (2011). Symplectic Topology and Geometric Quantum Mechanics. (Doctoral Dissertation). Arizona State University. Retrieved from http://repository.asu.edu/items/9478

Chicago Manual of Style (16^th Edition):

Sanborn, Barbara. “Symplectic Topology and Geometric Quantum Mechanics.” 2011. Doctoral Dissertation, Arizona State University. Accessed March 08, 2021. http://repository.asu.edu/items/9478.

MLA Handbook (7^th Edition):

Sanborn, Barbara. “Symplectic Topology and Geometric Quantum Mechanics.” 2011. Web. 08 Mar 2021.

Vancouver:

Sanborn B. Symplectic Topology and Geometric Quantum Mechanics. [Internet] [Doctoral dissertation]. Arizona State University; 2011. [cited 2021 Mar 08]. Available from: http://repository.asu.edu/items/9478.

Council of Science Editors:

Sanborn B. Symplectic Topology and Geometric Quantum Mechanics. [Doctoral Dissertation]. Arizona State University; 2011. Available from: http://repository.asu.edu/items/9478

Université de Montréal

28. Chassé, Jean-Philippe. Sur le h-principe pour les immersions coisotropes et les classes caractéristiques associées.

Degree: 2019, Université de Montréal

URL: http://hdl.handle.net/1866/22134

Subjects/Keywords: Fibrés vectoriels symplectiques; Topologie symplectique; Classes caractéristiques; h-principe; Immersions isotropes; Immersions coisotropes; Symplectic vector bundle; Symplectic topology; Caracteristic classes; h-principle; Isotropic immersions; Coisotropic immersions; Mathematics / Mathématiques (UMI : 0405)

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

APA (6^th Edition):

Chassé, J. (2019). Sur le h-principe pour les immersions coisotropes et les classes caractéristiques associées. (Thesis). Université de Montréal. Retrieved from http://hdl.handle.net/1866/22134

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):

Chassé, Jean-Philippe. “Sur le h-principe pour les immersions coisotropes et les classes caractéristiques associées.” 2019. Thesis, Université de Montréal. Accessed March 08, 2021. http://hdl.handle.net/1866/22134.

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

MLA Handbook (7^th Edition):

Chassé, Jean-Philippe. “Sur le h-principe pour les immersions coisotropes et les classes caractéristiques associées.” 2019. Web. 08 Mar 2021.

Vancouver:

Chassé J. Sur le h-principe pour les immersions coisotropes et les classes caractéristiques associées. [Internet] [Thesis]. Université de Montréal; 2019. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/1866/22134.

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

Council of Science Editors:

Chassé J. Sur le h-principe pour les immersions coisotropes et les classes caractéristiques associées. [Thesis]. Université de Montréal; 2019. Available from: http://hdl.handle.net/1866/22134

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

29. Uljarevic, Igor. A symplectic homology theory for automorphisms of Liouville domains.

Degree: 2016, ETH Zürich

URL: http://hdl.handle.net/20.500.11850/116784

Subjects/Keywords: SYMPLEKTISCHE MANNIGFALTIGKEITEN (DIFFERENTIALGEOMETRIE); HOMOLOGY GROUPS + COHOMOLOGY GROUPS (ALGEBRAIC TOPOLOGY); HOMOLOGIEGRUPPEN + KOHOMOLOGIEGRUPPEN (ALGEBRAISCHE TOPOLOGIE); SYMPLECTIC MANIFOLDS (DIFFERENTIAL GEOMETRY); info:eu-repo/classification/ddc/510; Mathematics

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Record Details Similar Records Cite « Share

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

APA (6^th Edition):

Uljarevic, I. (2016). A symplectic homology theory for automorphisms of Liouville domains. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/116784

Chicago Manual of Style (16^th Edition):

Uljarevic, Igor. “A symplectic homology theory for automorphisms of Liouville domains.” 2016. Doctoral Dissertation, ETH Zürich. Accessed March 08, 2021. http://hdl.handle.net/20.500.11850/116784.

MLA Handbook (7^th Edition):

Uljarevic, Igor. “A symplectic homology theory for automorphisms of Liouville domains.” 2016. Web. 08 Mar 2021.

Vancouver:

Uljarevic I. A symplectic homology theory for automorphisms of Liouville domains. [Internet] [Doctoral dissertation]. ETH Zürich; 2016. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/20.500.11850/116784.

Council of Science Editors:

Uljarevic I. A symplectic homology theory for automorphisms of Liouville domains. [Doctoral Dissertation]. ETH Zürich; 2016. Available from: http://hdl.handle.net/20.500.11850/116784

30. Krom, Robin Sebastian. The Donaldson Geometric Flow.

Degree: 2016, ETH Zürich

URL: http://hdl.handle.net/20.500.11850/115920

Subjects/Keywords: FOUR-DIMENSIONAL MANIFOLDS (TOPOLOGY); VIERDIMENSIONALE MANNIGFALTIGKEITEN (TOPOLOGIE); SYMPLEKTISCHE MANNIGFALTIGKEITEN (DIFFERENTIALGEOMETRIE); SYMPLECTIC MANIFOLDS (DIFFERENTIAL GEOMETRY); FLUSS (DYNAMISCHE SYSTEME); FLOW (DYNAMICAL SYSTEMS); info:eu-repo/classification/ddc/510; Mathematics

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Record Details Similar Records Cite « Share

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

APA (6^th Edition):

Krom, R. S. (2016). The Donaldson Geometric Flow. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/115920

Chicago Manual of Style (16^th Edition):

Krom, Robin Sebastian. “The Donaldson Geometric Flow.” 2016. Doctoral Dissertation, ETH Zürich. Accessed March 08, 2021. http://hdl.handle.net/20.500.11850/115920.

MLA Handbook (7^th Edition):

Krom, Robin Sebastian. “The Donaldson Geometric Flow.” 2016. Web. 08 Mar 2021.

Vancouver:

Krom RS. The Donaldson Geometric Flow. [Internet] [Doctoral dissertation]. ETH Zürich; 2016. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/20.500.11850/115920.

Council of Science Editors:

Krom RS. The Donaldson Geometric Flow. [Doctoral Dissertation]. ETH Zürich; 2016. Available from: http://hdl.handle.net/20.500.11850/115920

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