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

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dc.creatorBaldridge, Scott
dc.date2002-01-07
dc.date2002-02-10
dc.date.accessioned2026-07-07T04:45:41Z
dc.date.available2026-07-07T04:45:41Z
dc.descriptionIn 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.
dc.descriptionIncludes new theorem classifying symplectic 4-manifolds with circle actions having fixed points. Minor updates to existing proofs to reflect the new theorem. 7 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0201034
dc.identifierhttp://arxiv.org/abs/math/0201034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63046
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57R57; 57M60
dc.titleSeiberg-Witten vanishing theorem for $S^1$-manifolds with fixed points
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