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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
Symplectic and Contact Topology: Interactions and Perspectives
eBook ISBN:  978-1-4704-3069-6
Product Code:  FIC/35.E
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $62.40
Symplectic and Contact Topology: Interactions and Perspectives
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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
eBook ISBN:  978-1-4704-3069-6
Product Code:  FIC/35.E
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $62.40
  • 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.

    Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

    Readership

    Graduate students and research mathematicians interested in geometry and topology.

  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
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.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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