Periodic Hamiltonian flows on four dimensional manifolds
Author(s)
Bibliographic Information
Periodic Hamiltonian flows on four dimensional manifolds
（Memoirs of the American Mathematical Society, no. 672）
American Mathematical Society, 1999
Available at 19 libraries
Note
"September 1999, volume 141, number 672 (second of 4 numbers)" -- T.p
Includes bibliographical references
Description and Table of Contents
Description
Abstract - we classify the periodic Hamiltonian flows on compact four dimensional symplectic manifolds up to isomorphism of Hamiltonian $S^1$-spaces. Additionally, we show that all these spaces are Kahler, that every such space is obtained from a simple model by a sequence of symplectic blowups, and that if the fixed points are isolated then the space is a toric variety.
Table of Contents
- Introduction Graphs Metrics Uniqueness: Graph determines space Isolated fixed points implies toric variety Blowing-up Completing the classification
- our spaces are Kahler Appendices References.
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