Seiberg-Witten invariants of 4-manifolds with free circle actions

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dc.creatorBaldridge, Scott
dc.date1999-11-09
dc.date.accessioned2026-07-07T05:31:30Z
dc.date.available2026-07-07T05:31:30Z
dc.descriptionThe main results of this paper describes a formula for the Seiberg-Witten invariant of a 4-manifold which admits a nontrivial free S^1-action. We use this theorem to produce a nonsymplectic 4-manifold with a free circle action whose orbit space fibers over S^1. We also describe a 3-manifold which is not the orbit space of any symplectic 4-manifold with a free circle action. A corollary of the main theorem is a formula for the 3-dimensional Seiberg-Witten invariants of the total space of a circle bundle over a surface.
dc.descriptionLaTex, 13 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/9911051
dc.identifierhttp://arxiv.org/abs/math/9911051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79366
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57R57; 57M60
dc.titleSeiberg-Witten invariants of 4-manifolds with free circle actions
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