Morse Matchings on a Hypersimplex
Combinatorics
2012-11-29 v1 Geometric Topology
Abstract
We present a family of complete acyclic Morse matchings on the face lattice of a hypersimplex. Since a hypersimplex is a convex polytope, there is a natural way to form a CW complex from its faces. In a future paper we will utilize these matchings to classify every subcomplex whose reduced homology groups are concentrated in a single degree and describe a homology basis for each of them.
Keywords
Cite
@article{arxiv.1211.6483,
title = {Morse Matchings on a Hypersimplex},
author = {Jacob Harper},
journal= {arXiv preprint arXiv:1211.6483},
year = {2012}
}
Comments
part of phD thesis arXiv:1108.6001. arXiv admin note: text overlap with arXiv:0806.1503 by other authors