Periodic Hamiltonian Flows on Four Dimensional Manifolds
- ISBN-10
- 0821811819
- ISBN-13
- 9780821811818
- Category
- Mathematics
- Pages
- 71
- Language
- English
- Published
- 1999
- Publisher
- American Mathematical Soc.
- Author
- Yael Karshon
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.
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