On semifree symplectic circle actions with isolated fixed points

Tolman, Susan; Weitsman, Jonathan

On semifree symplectic circle actions with isolated fixed points

Authors

Description

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 $(P^1)^n$.