{
  "id": "1211.6483",
  "version": "v1",
  "published": "2012-11-07T19:05:29.000Z",
  "updated": "2012-11-07T19:05:29.000Z",
  "title": "Morse Matchings on a Hypersimplex",
  "authors": [
    "Jacob Harper"
  ],
  "comment": "part of phD thesis arXiv:1108.6001. arXiv admin note: text overlap with arXiv:0806.1503 by other authors",
  "categories": [
    "math.CO",
    "math.GT"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-07T19:05:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hypersimplex",
      "complete acyclic morse matchings",
      "homology basis",
      "single degree",
      "face lattice"
    ],
    "tags": [
      "dissertation"
    ],
    "publication": {
      "journal": "Ph.D. Thesis",
      "year": 2012
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhDT........20H"
    }
  }
}