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
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