Equivalences for Morse homology

dc.creatorSchwarz, Matthias
dc.date1999-05-25
dc.date.accessioned2026-07-07T05:29:13Z
dc.date.available2026-07-07T05:29:13Z
dc.descriptionAn explicit isomorphism between Morse homology and singular homology is constructed via the technique of pseudo-cycles. Given a Morse cycle as a formal sum of critical points of a Morse function, the unstable manifolds for the negative gradient flow are compactified in a suitable way, such that gluing them appropriately leads to a pseudo-cycle and a well-defined integral homology class in singular homology.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/9905152
dc.identifierhttp://arxiv.org/abs/math/9905152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78553
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject58E05 (Primary) 55N35, 57R70 (Secondary)
dc.titleEquivalences for Morse homology
dc.typetext

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