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Advances in the Mathematical Sciences
Northern California Symplectic Geometry Seminar
Edited by: Ya. Eliashberg, Stanford University, CA, D. Fuchs, University of California, Davis, CA, T. Ratiu, Ecole Polytechnique Federale de Lausanne, Switzerland, and A. Weinstein, University of California, Berkeley, CA
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American Mathematical Society Translations--Series 2
Advances in the Mathematical Sciences
1999; 258 pp; hardcover
Volume: 196
ISBN-10: 0-8218-2075-3
ISBN-13: 978-0-8218-2075-9
List Price: US$110
Member Price: US$88
Order Code: TRANS2/196
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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.

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 Atiyah-Floer 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
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