Seiberg-Witten invariants, orbifolds, and circle actions

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dc.creatorBaldridge, Scott
dc.date2001-07-12
dc.date.accessioned2026-07-07T04:42:35Z
dc.date.available2026-07-07T04:42:35Z
dc.descriptionThe main result of this paper is a formula for calculating the Seiberg-Witten invariants of 4-manifolds with fixed-point free circle actions. This is done by showing under suitable conditions the existence of a diffeomorphism between the moduli space of the 4-manifold and the moduli space of the quotient 3-orbifold. Two corollaries include b_+>1 4-manifolds with fixed-point free circle actions are simple type and a new proof that the four dimensional invariants of $Y \times S^1$ are equal to the the three dimensional invariants of $Y$. An infinite number of b_+=1 4-manifolds where the Seiberg-Witten invariants are still diffeomorphism invariants are constructed and studied.
dc.descriptionLatex, 27 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0107092
dc.identifierhttp://arxiv.org/abs/math/0107092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61840
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57R57; 57M60
dc.titleSeiberg-Witten invariants, orbifolds, and circle actions
dc.typetext

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