Seiberg-Witten vanishing theorem for $S^1$-manifolds with fixed points

Scott Baldridge

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arXiv · math/0201034

Seiberg-Witten vanishing theorem for $S^1$-manifolds with fixed points

Scott Baldridge

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Abstract

In this paper we show that the Seiberg--Witten invariant is zero for all smooth 4--manifolds with $b_+{>}1$ which admit circle actions that have at least one fixed point. Furthermore, we show that all symplectic 4--manifolds which admit circle actions with fixed points are rational or ruled, and thus admit a symplectic circle action.

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BibTeX RIS

Scott Baldridge. 2002-02-10. Seiberg-Witten vanishing theorem for $S^1$-manifolds with fixed points. https://arxiv.org/abs/math/0201034

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