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.
| ISBN: | 9780821811818 |
| Publication date: | 30th September 1999 |
| Author: | Yael Karshon |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 71 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Calculus and mathematical analysis Geometry |