Symplectic and Contact Topology: Interactions and Perspectives ( Fields Institute Communications )

Publication series :Fields Institute Communications

Author: Yakov Eliashberg;Boris Khesin;François Lalonde  

Publisher: American Mathematical Society‎

Publication year: 2003

E-ISBN: 9781470430696

P-ISBN(Hardback):  9780821831625

Subject: O189.3 analytical topology

Keyword: 暂无分类

Language: ENG

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Symplectic and Contact Topology: Interactions and Perspectives

Description

The papers presented in this volume are written by participants at the “Symplectic and Contact Topology, Quantum Cohomology, and Symplectic Field Theory” symposium, which 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 compiled here include the latest developments on Symplectic Topology, the interaction between symplectic and other geometric structures, Differential Geometry and Topology, Homological Mirror Symmetry, and Non-commutative Symplectic Geometry. These in-depth articles make this book a useful reference for graduate students as well as research mathematicians.

Chapter

Title page

Contents

Preface

Kähler geometry of toric manifolds in symplectic coordinates

The curvature and the integrability of almost-Kähler manifolds: A survey

A Morse-Bott approach to contact homology

Deforming surfaces in four dimensional manifolds

Integrability and the Einstein equations

On the invariants of Legendrian mirror torus links

Symplectically harmonic cohomology of nilmanifolds

Godbillon-Vey invariants for families of foliations

A note on extended complex manifolds

On action of symplectomorphisms of the complex plane on pairs of matrices

Slow symplectic maps, continued fractions, and related stories

The gluing construction for normally generic 𝐽-holomorphic curves

Back Cover

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