Morse theory of Bestvina–Brady type for posets and matchings
Copyright policy )Morse theory of Bestvina–Brady type for posets and matchings
We introduce a Morse theory for posets of Bestvina–Brady type combining matchings and height functions. This theory generalizes Forman's discrete Morse theory for regular CW-complexes and extends previous results on Morse theory for $h$-regular posets to all finite posets. We also develop a relative version of Morse theory which allows us to compare the topology of a poset with that of a given subposet.
- University of Buenos Aires Argentina
simplicial complexes, Discrete Morse theory and related ideas in manifold topology, Classification of homotopy type, Persistent homology and applications, topological data analysis, posets, Abstract complexes in algebraic topology, General topology of complexes, Partial orders, general, finite topological spaces, FOS: Mathematics, Mathematics - Combinatorics, Algebraic Topology (math.AT), Morse theory, Mathematics - Algebraic Topology, Combinatorics (math.CO), matchings, 55U05, 55P15, 57Q05, 57Q70, 06A06, 55N31
simplicial complexes, Discrete Morse theory and related ideas in manifold topology, Classification of homotopy type, Persistent homology and applications, topological data analysis, posets, Abstract complexes in algebraic topology, General topology of complexes, Partial orders, general, finite topological spaces, FOS: Mathematics, Mathematics - Combinatorics, Algebraic Topology (math.AT), Morse theory, Mathematics - Algebraic Topology, Combinatorics (math.CO), matchings, 55U05, 55P15, 57Q05, 57Q70, 06A06, 55N31
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!