Symplectic Geometry

This volume is based on lectures given at a workshop and conference on symplectic geometry at the University of Warwick in August 1990.

Dietmar Salamon (Edited by)

9780521446990, Cambridge University Press

Paperback, published 3 February 1994

244 pages
22.8 x 15.2 x 1.4 cm, 0.35 kg

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.

A variational interpretation of Melnikov's function and exponitionally small separaratrix splitting S. Angenent
Global Darboux theorems and a linearization problem E. Ciriza
Complex cobordism, Ashtekar's equations and diffeomorphisms S. Donaldson
Instanton homology and symplectic fixed points S. Dostoglou & D. Salamon
An energy-capacity inequality for the symplectic holonomy of hypersurfaces flat at infinity Y. Eliashberg and H. Hofer
Examples of singular reduction E. Lerman, R. Montgomery and R. Sjamaar
Remarks on the uniqeness of symplectic blowing up D. McDuff
The 4-dimensional symplectic camel and related results D. McDuff and L. Traynor
Differential forms and connections adapted to a contact structure M. Rumin and P. Pansu
The Maslov class rigidity and non-existence of lagrangian embeddings L. Polterovich
Phase functions and path integrals J. Robbin and D. Salamon
Symplectic mappings which are stable at infinity E. Zehnder.

Subject Areas: Algebraic geometry [PBMW]