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Symplectic and Contact Topology: Interactions and Perspectives

Edited by: Yakov Eliashberg Stanford University, CA
Boris Khesin University of Toronto, ON, Canada
François Lalonde University of Quebec at Montreal, Canada
A co-publication of the AMS and Fields Institute
Available Formats:
Hardcover ISBN: 978-0-8218-3162-5
Product Code: FIC/35
List Price: $79.00 MAA Member Price:$71.10
AMS Member Price: $63.20 Electronic ISBN: 978-1-4704-3069-6 Product Code: FIC/35.E List Price:$74.00
MAA Member Price: $66.60 AMS Member Price:$59.20
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List Price: $118.50 MAA Member Price:$106.65
AMS Member Price: $94.80 Click above image for expanded view Symplectic and Contact Topology: Interactions and Perspectives Edited by: Yakov Eliashberg Stanford University, CA Boris Khesin University of Toronto, ON, Canada François Lalonde University of Quebec at Montreal, Canada A co-publication of the AMS and Fields Institute Available Formats:  Hardcover ISBN: 978-0-8218-3162-5 Product Code: FIC/35  List Price:$79.00 MAA Member Price: $71.10 AMS Member Price:$63.20
 Electronic ISBN: 978-1-4704-3069-6 Product Code: FIC/35.E
 List Price: $74.00 MAA Member Price:$66.60 AMS Member Price: $59.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$118.50 MAA Member Price: $106.65 AMS Member Price:$94.80
• Book Details

Fields Institute Communications
Volume: 352003; 199 pp
MSC: Primary 53; 57; Secondary 37; 58;

The papers presented in this volume are written by participants of the “Symplectic and Contact Topology, Quantum Cohomology, and Symplectic Field Theory” symposium. The workshop was part of a semester-long joint venture of The Fields Institute in Toronto and the Centre de Recherches Mathématiques in Montreal.

The twelve papers cover the following topics: Symplectic Topology, the interaction between symplectic and other geometric structures, and Differential Geometry and Topology.

The Proceeding concludes with two papers that have a more algebraic character. One is related to the program of Homological Mirror Symmetry: the author defines a category of extended complex manifolds and studies its properties. The subject of the final paper is Non-commutative Symplectic Geometry, in particular the structure of the symplectomorphism group of a non-commutative complex plane.

The in-depth articles make this book a useful reference for graduate students as well as research mathematicians.

Graduate students and research mathematicians interested in geometry and topology.

• Chapters
• Miguel Abreu - Kähler geometry of toric manifolds in symplectic coordinates
• Vestislav Apostolov and Tedi Drăghici - The curvature and the integrability of almost-Kähler manifolds: A survey
• Frédéric Bourgeois - A Morse-Bott approach to contact homology
• Jingyi Chen - Deforming surfaces in four dimensional manifolds
• Andrew Dancer and McKenzie Wang - Integrability and the Einstein equations
• Judith Epstein and Dmitry Fuchs - On the invariants of Legendrian mirror torus links
• R. Ibáñez, Yu. Rudyak, A. Tralle and L. Ugarte - Symplectically harmonic cohomology of nilmanifolds
• D. Kotschick - Godbillon-Vey invariants for families of foliations
• S. Merkulov - A note on extended complex manifolds
• Victor Pidstrygach - On action of symplectomorphisms of the complex plane on pairs of matrices
• Leonid Polterovich - Slow symplectic maps, continued fractions, and related stories
• Jean-Claude Sikorav - The gluing construction for normally generic $J$-holomorphic curves
• Request Review Copy
Volume: 352003; 199 pp
MSC: Primary 53; 57; Secondary 37; 58;

The papers presented in this volume are written by participants of the “Symplectic and Contact Topology, Quantum Cohomology, and Symplectic Field Theory” symposium. The workshop was part of a semester-long joint venture of The Fields Institute in Toronto and the Centre de Recherches Mathématiques in Montreal.

The twelve papers cover the following topics: Symplectic Topology, the interaction between symplectic and other geometric structures, and Differential Geometry and Topology.

The Proceeding concludes with two papers that have a more algebraic character. One is related to the program of Homological Mirror Symmetry: the author defines a category of extended complex manifolds and studies its properties. The subject of the final paper is Non-commutative Symplectic Geometry, in particular the structure of the symplectomorphism group of a non-commutative complex plane.

The in-depth articles make this book a useful reference for graduate students as well as research mathematicians.

Graduate students and research mathematicians interested in geometry and topology.

• Chapters
• Miguel Abreu - Kähler geometry of toric manifolds in symplectic coordinates
• Vestislav Apostolov and Tedi Drăghici - The curvature and the integrability of almost-Kähler manifolds: A survey
• Frédéric Bourgeois - A Morse-Bott approach to contact homology
• Jingyi Chen - Deforming surfaces in four dimensional manifolds
• Andrew Dancer and McKenzie Wang - Integrability and the Einstein equations
• Judith Epstein and Dmitry Fuchs - On the invariants of Legendrian mirror torus links
• R. Ibáñez, Yu. Rudyak, A. Tralle and L. Ugarte - Symplectically harmonic cohomology of nilmanifolds
• D. Kotschick - Godbillon-Vey invariants for families of foliations
• S. Merkulov - A note on extended complex manifolds
• Victor Pidstrygach - On action of symplectomorphisms of the complex plane on pairs of matrices
• Leonid Polterovich - Slow symplectic maps, continued fractions, and related stories
• Jean-Claude Sikorav - The gluing construction for normally generic $J$-holomorphic curves
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