| eBook ISBN: | 978-1-4704-3407-6 |
| Product Code: | TRANS2/196.E |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-3407-6 |
| Product Code: | TRANS2/196.E |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
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Book DetailsAmerican Mathematical Society Translations - Series 2Advances in the Mathematical SciencesVolume: 196; 1999; 258 ppMSC: Primary 53; 58
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.
ReadershipGraduate students and research mathematicians interested in symplectic geometry and topology and applications.
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Table of Contents
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Chapters
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Ana Cannas da Silva and Victor Guillemin — Quantization of symplectic orbifolds and group actions
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S. K. Donaldson — Symmetric spaces, Kähler geometry and Hamiltonian dynamics
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Viktor L. Ginzburg — Hamiltonian dynamical systems without periodic orbits
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Alexander Givental — The mirror formula for quintic threefolds
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François Lalonde and Charles Pestieau — Stabilisation of symplectic inequalities and applications
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Dusa McDuff — The virtual moduli cycle
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Richard Montgomery — Engel deformations and contact structures
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Marcin Poźniak — Floer homology, Novikov rings and clean intersections
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Yongbin Ruan — Surgery, quantum cohomology and birational geometry
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Dietmar A. Salamon — Quantum products for mapping tori and the Atiyah-Floer conjecture
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Paul Seidel — On the group of symplectic automorphisms of $\mathbb {C}P^m \times \mathbb {C}P^n$
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Susan Tolman and Jonathan Weitsman — On the cohomology rings of Hamiltonian $T$-spaces
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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.
Graduate students and research mathematicians interested in symplectic geometry and topology and applications.
-
Chapters
-
Ana Cannas da Silva and Victor Guillemin — Quantization of symplectic orbifolds and group actions
-
S. K. Donaldson — Symmetric spaces, Kähler geometry and Hamiltonian dynamics
-
Viktor L. Ginzburg — Hamiltonian dynamical systems without periodic orbits
-
Alexander Givental — The mirror formula for quintic threefolds
-
François Lalonde and Charles Pestieau — Stabilisation of symplectic inequalities and applications
-
Dusa McDuff — The virtual moduli cycle
-
Richard Montgomery — Engel deformations and contact structures
-
Marcin Poźniak — Floer homology, Novikov rings and clean intersections
-
Yongbin Ruan — Surgery, quantum cohomology and birational geometry
-
Dietmar A. Salamon — Quantum products for mapping tori and the Atiyah-Floer conjecture
-
Paul Seidel — On the group of symplectic automorphisms of $\mathbb {C}P^m \times \mathbb {C}P^n$
-
Susan Tolman and Jonathan Weitsman — On the cohomology rings of Hamiltonian $T$-spaces
