Dissolving four-manifolds and positive scalar curvature

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dc.creatorHanke, B.
dc.creatorKotschick, D.
dc.creatorWehrheim, J.
dc.date2003-06-05
dc.date.accessioned2026-07-07T04:58:36Z
dc.date.available2026-07-07T04:58:36Z
dc.descriptionWe prove that many simply connected symplectic four-manifolds dissolve after connected sum with only one copy of $S^{2}\times S^{2}$. For any finite group G that acts freely on the three-sphere we construct closed smooth four-manifolds with fundamental group G which do not admit metrics of positive scalar curvature, but whose universal covers do admit such metrics.
dc.description13 pages; to appear in Mathematische Zeitschrift
dc.identifierhttps://arxiv.org/abs/math/0306096
dc.identifierhttp://arxiv.org/abs/math/0306096
dc.identifierMath. Zeitschrift 245 (2003), 545--555.
dc.identifierdoi:10.1007/s00209-003-0553-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67704
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject57R57; 53C25; 57R55
dc.titleDissolving four-manifolds and positive scalar curvature
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