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

DOI10.2422/2036-2145.2010.2.01zbMath1201.57026OpenAlexW2963744428MaRDI QIDQ4930041

Étienne Gallais

Publication date: 27 September 2010

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.2010.2.01

zbMATH Keywords

triangulationsvector fieldsdiscrete Morse theoryEuler structuresThom-Smale complex

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Critical points and critical submanifolds in differential topology (57R70) Combinatorial aspects of simplicial complexes (05E45) Triangulating (57R05)

Related Items (8)

Discrete Morse theory and classifying spaces ⋮ Discrete Morse theory for the barycentric subdivision ⋮ Collapsibility of CAT(0) spaces ⋮ Matching cells ⋮ Creating semiflows on simplicial complexes from combinatorial vector fields ⋮ Combinatorial spin structures on triangulated manifolds ⋮ Birth and death in discrete Morse theory ⋮ Decomposing filtered chain complexes: geometry behind barcoding algorithms

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