Periodic Hamiltonian Flows on Four Dimensional Manifolds (Memoirs of the American Mathematical Society) - Softcover

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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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