On semifree symplectic circle actions with isolated fixed points

Susan Tolman; Jonathan Weitsman

On semifree symplectic circle actions with isolated fixed points

微分几何 2007-05-23 v1 辛几何

作者: Susan Tolman , Jonathan Weitsman

摘要

Let $M$ be a symplectic manifold, equipped with a semifree symplectic circle action with a finite, nonempty fixed point set. We show that the circle action must be Hamiltonian, and $M$ must have the equivariant cohomology and Chern classes of $(P^1)^n$ .

关键词

group actions on manifolds symplectic geometry group actions

引用

@article{arxiv.math/9812015,
  title  = {On semifree symplectic circle actions with isolated fixed points},
  author = {Susan Tolman and Jonathan Weitsman},
  journal= {arXiv preprint arXiv:math/9812015},
  year   = {2007}
}

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