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

Authors

Scott Baldridge, Louisiana State University

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

Recommended Citation

Baldridge, S. (2004). Seiberg-witten vanishing theorem for S¹-manifolds with fixed points. Pacific Journal of Mathematics, 217 (1), 1-10. https://doi.org/10.2140/pjm.2004.217.1