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

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

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Description

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.

Contents

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

Product Details

  • ISBN13: 9780821811818
  • Format: Paperback
  • Number Of Pages: 71
  • ID: 9780821811818
  • ISBN10: 0821811819

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