Combinatorial realization of the Thom-Smale complex via discrete Morse theory

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dc.creatorGallais, Etienne
dc.date2008-03-18
dc.date.accessioned2026-07-07T12:17:44Z
dc.date.available2026-07-07T12:17:44Z
dc.descriptionIn the case of smooth manifolds, we use Forman's discrete Morse theory to realize combinatorially any Thom-Smale complex coming from a smooth Morse function by a couple triangulation-discrete Morse function. As an application, we prove that any Euler structure on a smooth oriented closed 3-manifold has a particular realization by a complete matching on the Hasse diagram of a triangulation of the manifold.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0803.2616
dc.identifierhttp://arxiv.org/abs/0803.2616
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212178
dc.subjectGeometric Topology
dc.subjectDiscrete Mathematics
dc.subjectCombinatorics
dc.titleCombinatorial realization of the Thom-Smale complex via discrete Morse theory
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