Periodic Hamiltonian Flows on Four Dimensional Manifolds
Yael Karshon
Jan 1999 · American Mathematical Society: Memoirs of the American Mathematical Society Book 672 · American Mathematical Soc.
Ebook
71
Pages
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About this ebook
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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