Symplectic Geometry

doi:10.1017/CBO9780511526343

Symplectic Geometry

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Edited by Dietmar Salamon, University of Warwick

Publisher:: Cambridge University Press
Online publication date:: October 2009
Print publication year:: 1994
Online ISBN:: 9780511526343
DOI:: https://doi.org/10.1017/CBO9780511526343

Subjects:: Mathematics (general), Mathematics, Geometry and Topology
Series:: London Mathematical Society Lecture Note Series (192)

37.99 (GBP)

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This volume is based on lectures given at a workshop and conference on symplectic geometry at the University of Warwick in August 1990. The area of symplectic geometry has developed rapidly in the past ten years with major new discoveries that were motivated by and have provided links with many other subjects such as dynamical systems, topology, gauge theory, mathematical physics and singularity theory. The conference brought together a number of leading experts in these areas of mathematics. The contributions to this volume reflect the richness of the subject and include expository papers as well as original research. They will be an essential source for all research mathematicians in symplectic geometry.

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Symplectic Geometry

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Introduction
pp 1-4

A variational interpretation of Melnikov's function and exponentially small separatrix splitting
pp 5-36

Global Darboux theorems and a linearization problem
pp 37-44

Complex cobordism, Ashtekar's equations and diffeomorphisms
pp 45-56

Instanton homology and symplectic fixed points
pp 57-94

An energy–capacity inequality for the symplectic holonomy of hypersurfaces flat at infinity
pp 95-114

Caustics Dk at points of interface between two media
pp 115-126

Examples of singular reduction
pp 127-156

Remarks on the uniqueness of symplectic blowing up
pp 157-168

The 4-dimensional symplectic camel and related results
pp 169-182

Differential forms and connections adapted to a contact structure, after M. Rumin
pp 183-196

The Maslov class rigidity and non-existence of Lagrangian embeddings
pp 197-202

Phase functions and path integrals
pp 203-226

Symplectic mappings which are stable at infinity
pp 227-236

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Symplectic Geometry

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