Title

Seiberg-witten vanishing theorem for S1-manifolds with fixed points

Document Type

Article

Publication Date

1-1-2004

Abstract

We show that the Seiberg-Witten invariant is zero for all smooth 4-manifolds with b >1 that admit circle actions having at least one fixed point. We also show that all symplectic 4-manifolds that admit (possibly nonsymplectic) circle actions with fixed points are rational or ruled, and thus admit a symplectic circle action. +

Publication Source (Journal or Book title)

Pacific Journal of Mathematics

First Page

1

Last Page

10

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