Index theory with bounded geometry, the uniformly finite A-hat class, and infinite connected sums

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dc.creatorWhyte, Kevin
dc.date2004-05-14
dc.date.accessioned2026-07-07T05:08:15Z
dc.date.available2026-07-07T05:08:15Z
dc.descriptionWe analyze the obstruction to metrics of positive scalar curvature within a given bounded distortion class of metrics. This obstruction lives in a non-Hausdorff cohomology group Poincare dual to the uniformly finite homology studied by Block and Weinberger. One of the applications is a converse to their theorem on infinite connected sums, giving a complete picture of when such manifolds have metrics of positive scalar curvature.
dc.identifierhttps://arxiv.org/abs/math/0405271
dc.identifierhttp://arxiv.org/abs/math/0405271
dc.identifierJDG 59, 2001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71188
dc.subjectDifferential Geometry
dc.titleIndex theory with bounded geometry, the uniformly finite A-hat class, and infinite connected sums
dc.typetext

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