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
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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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