Periodic Hamiltonian flows on four dimensional manifolds

Yael Karshon

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arXiv · dg-ga/9510004

Periodic Hamiltonian flows on four dimensional manifolds

Yael Karshon

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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 Kaehler, 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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BibTeX RIS

Yael Karshon. 1998-04-07. Periodic Hamiltonian flows on four dimensional manifolds. https://arxiv.org/abs/dg-ga/9510004

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