Northern California Symplectic Geometry Seminar

by Eliashberg, Ya; Weinstein, A.; Fuchs, D.; Ratiu, T.

• ISBN13: 9780821820759
• ISBN10: 0821820753
• Format: Hardcover
• Copyright: 1999-12-01
• Publisher: Amer Mathematical Society

Summary

This seminar was established to encourage ongoing interaction between geometers at Stanford University and the University of California (Berkeley, Davis, and Santa Cruz). Over the years, lectures presented have provided a panorama of developments in symplectic and contact geometry and topology, Poisson geometry, quantization theory, and applications. This volume includes papers by several of the distinguished seminar participants. The diversity of the topics from the seminar are reflected in the informative presentations. A wide range of topics are presented in the book, including symplectic topology, Hamiltonian dynamics, quantum cohomology and mirror symmetry, infinite-dimensional symplectic geometry, the theory of Hamiltonian group actions, and quantization.

Table of Contents

Introduction	ix
Quantization of Symplectic Orbifolds and Group Actions	1	(12)
Ana Cannas Da Silva
Victor Guillemin
Symmetric Spaces, Kahler Geometry and Hamiltonian Dynamics	13	(22)
S. K. Donaldson
Hamiltonian Dynamical Systems Without Periodic Orbits	35	(14)
Viktor L. Ginzburg
The Mirror Formual for Quintic Threefolds	49	(14)
Alexander Givental
Stabilisation of Symplectic Inequalities and Applications	63	(10)
Francois Lalonde
Charles Pestieau
The Virtual Moduli Cycle	73	(30)
Dusa McDuff
Engel Deformations and Contact Structures	103	(16)
Richard Montgomery
Floer Homology, Novikov Rings and Complete Intersections	119	(64)
Marcin Pozniak
Surgery, Quantum Cohomology and Birtational Geometry	183	(16)
Yongbin Ruan
Quantum Products for Mapping Tori and the Atiyah-Floer Conjecture	199	(38)
Dietmar A. Salamon
On the Group of Symplectic Automorphisms of CPm x CPn	237	(14)
Paul Seidel
On the Cohomology Rings of Hamiltonian T-Spaces	251
Susan Tolman
Jonathan Weitsman