On semifree symplectic circle actions with isolated fixed points

1998/12/02 by Susan Tolman, Jonathan Weitsman · 1 citation
Mathematics · #math.DG #math.SG

paper · pdf

published as Topology 39, 299-309 (2000)

arxiv created 1998/12/02 · arxiv updated 2009/11/30

Abstract

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 (P¹)ⁿ.

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