English

On semifree symplectic circle actions with isolated fixed points

Differential Geometry 2007-05-23 v1 Symplectic Geometry

Abstract

Let MM 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 MM must have the equivariant cohomology and Chern classes of (P1)n(P^1)^n.

Keywords

Cite

@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}
}