Jacob Harper
Published 2012-11-07Version 1
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.
Comments: part of phD thesis arXiv:1108.6001. arXiv admin note: text overlap with arXiv:0806.1503 by other authors
The Graph of the Hypersimplex
The m=2 amplituhedron and the hypersimplex: signs, clusters, triangulations, Eulerian numbers
A combinatorial formula for the Ehrhart $h^{*}$-vector of the hypersimplex
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