Symplectic Geometry

By: Dietmar Salamon (Editor), D. A. Salamon (Editor), N. J. Hitchin (Editor)

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Paperback | 4 April 1994

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244 Pages

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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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Non-Fiction Mathematics Geometry Differential & Riemannian Geometry Algebraic Geometry Analytic Geometry Applied Mathematics Topology

A variational interpretation of MelnikovÆs function and exponitionally small separaratrix splitting
Global Darboux theorems and a linearization problem
Complex cobordism, AshtekarÆs equations and diffeomorphisms
Instanton homology and symplectic fixed points
An energy-capacity inequality for the symplectic holonomy of hypersurfaces flat at infinity
Examples of singular reduction
Remarks on the uniqeness of symplectic blowing up
The 4-dimensional symplectic camel and related results
Differential forms and connections adapted to a contact structure
The Maslov class rigidity and non-existence of lagrangian embeddings
Phase functions and path integrals
Symplectic mappings which are stable at infinity
Table of Contents provided by Publisher. All Rights Reserved.

Symplectic Geometry

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