2012/11/07 by Jacob Harper, Harper, Jacob
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #math.CO #math.GT
paper · pdf · doi:10.48550/arxiv.1211.6483
part of phD thesis arXiv:1108.6001. arXiv admin note: text overlap with arXiv:0806.1503 by other authors
arxiv created 2012/11/07 · arxiv updated 2012/11/29
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.