The Seiberg-Witten invariants of manifolds with wells of negative curvature

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dc.creatorRuberman, Daniel
dc.date2002-05-22
dc.date.accessioned2026-07-07T04:48:38Z
dc.date.available2026-07-07T04:48:38Z
dc.descriptionWe extend the vanishing theorem for the Seiberg-Witten invariants of a manifold with positive scalar curvature to the case when the curvature is allowed to be negative on a set of small volume. (The precise curvature bounds are described in the paper.) The idea is to combine the method of `semigroup domination' with the Weitzenbock formula. The same curvature hypothesis implies the vanishing of the Seiberg-Witten invariant of any finite covering space. We also show that, in high dimensions, a spin manifold with mostly positive scalar curvature in fact admits a metric of positive scalar curvature.
dc.identifierhttps://arxiv.org/abs/math/0205234
dc.identifierhttp://arxiv.org/abs/math/0205234
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64127
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57R57; 53C21
dc.titleThe Seiberg-Witten invariants of manifolds with wells of negative curvature
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