Periodic Hamiltonian flows on four dimensional manifolds

書誌事項

Periodic Hamiltonian flows on four dimensional manifolds

Yael Karshon

(Memoirs of the American Mathematical Society, no. 672)

American Mathematical Society, 1999

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注記

"September 1999, volume 141, number 672 (second of 4 numbers)" -- T.p

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

  • Introduction Graphs Metrics Uniqueness: Graph determines space Isolated fixed points implies toric variety Blowing-up Completing the classification
  • our spaces are Kahler Appendices References.

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