Curvature, Connected Sums, and Seiberg-Witten Theory

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dc.creatorIshida, Masashi
dc.creatorLeBrun, Claude
dc.date2001-11-20
dc.date2003-06-04
dc.date.accessioned2026-07-07T04:44:42Z
dc.date.available2026-07-07T04:44:42Z
dc.descriptionWe consider several differential-topological invariants of compact 4-manifolds which directly arise from Riemannian variational problems. Using recent results of Bauer and Furuta, we compute these invariants in many cases that were previously intractable. In particular, we are now able to calculate the Yamabe invariant for certain connected sums of complex surfaces.
dc.description29 pages, LaTeX2e. Final version, to appear in Communications in Analysis and Geometry. Additions include expanded discussion of foundational material concerning the Bauer-Furuta invariant and monopole classes
dc.identifierhttps://arxiv.org/abs/math/0111228
dc.identifierhttp://arxiv.org/abs/math/0111228
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62698
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject53C23; 57R57
dc.titleCurvature, Connected Sums, and Seiberg-Witten Theory
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