On semifree symplectic circle actions with isolated fixed points

Details On semifree symplectic circle actions with isolated fixed points On semifree symplectic circle actions with isolated fixed points

1998-12-02

arxiv.org/abs/math/9812015v1

Topology 39, 299-309 (2000)

Mathematics

Differential Geometry

Scientific paper

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 $(P^1)^n$.

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