American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 1999; 258 pp; hardcover Volume: 196 ISBN10: 0821820753 ISBN13: 9780821820759 List Price: US$110 Member Price: US$88 Order Code: TRANS2/196
 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, infinitedimensional symplectic geometry, the theory of Hamiltonian group actions, and quantization. Readership Graduate students and research mathematicians interested in symplectic geometry and topology and applications. Table of Contents  A. Cannas da Silva and V. Guillemin  Quantization of symplectic orbifolds and group actions
 S. K. Donaldson  Symmetric spaces, Kahler geometry and Hamiltonian dynamics
 V. L. Ginzburg  Hamiltonian dynamical systems without periodic orbits
 A. Givental  The mirror formula for quintic threefolds
 F. Lalonde and C. Pestieau  Stabilisation of symplectic inequalities and applications
 D. McDuff  The virtual moduli cycle
 R. Montgomery  Engel deformations and contact structures
 M. Poźniak  Floer homology, Novikov rings and clean intersections
 Y. Ruan  Surgery, quantum cohomology and birational geometry
 D. A. Salamon  Quantum products for mapping tori and the AtiyahFloer conjecture
 P. Seidel  On the group of symplectic automorphisms of \(\mathbb{C}P^m \times \mathbb{C}P^n\)
 S. Tolman and J. Weitsman  On the cohomology rings of Hamiltonian \(T\)spaces
