Morse matchings on polytopes

Abstract

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.

References in corpus (3)

• Lectures on 0/1-polytopes
• Proofs of some binomial identities using the method of last squares
• Homology Representations Arising from a Hypersimplex

Cited by in corpus (1)

• Morse Matchings on a Hypersimplex