{
  "id": "math/0311271",
  "version": "v1",
  "published": "2003-11-16T17:55:05.000Z",
  "updated": "2003-11-16T17:55:05.000Z",
  "title": "Connectivity of h-complexes",
  "authors": [
    "Patricia Hersh"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "This paper verifies a conjecture of Edelman and Reiner regarding the homology of the $h$-complex of a Boolean algebra. A discrete Morse function with no low-dimensional critical cells is constructed, implying a lower bound on connectivity. This together with an Alexander duality result of Edelman and Reiner implies homology-vanishing also in high dimensions. Finally, possible generalizations to certain classes of supersolvable lattices are suggested.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-16T17:55:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "05E25"
    ],
    "keywords": [
      "connectivity",
      "h-complexes",
      "discrete morse function",
      "alexander duality result",
      "boolean algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11271H"
    }
  }
}