Symplectic Geometry de Dietmar Salamon

Symplectic Geometry: London Mathematical Society Lecture Note Series, cartea 192

Dietmar Salamon

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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Cuprins

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.