Morse matchings on polytopes

Details Morse matchings on polytopes Morse matchings on polytopes

2011-07-25

arxiv.org/abs/1107.4993v1

Mathematics

Geometric Topology

Scientific paper

We show how to construct homology bases for certain CW complexes in terms of discrete Morse theory and cellular homology. We apply this technique to study certain subcomplexes of the half cube polytope studied in previous works. This involves constructing explicit complete acyclic Morse matchings on the face lattice of the half cube; this procedure may be of independent interest for other highly symmetric polytopes.

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