{
  "id": "1211.2553",
  "version": "v1",
  "published": "2012-11-12T10:38:00.000Z",
  "updated": "2012-11-12T10:38:00.000Z",
  "title": "A correspondence between complexes and knots",
  "authors": [
    "Moshe Cohen"
  ],
  "comment": "Developed during a summer school on \"Discrete Morse Theory and Commutative Algebra\" from July 18th through August 1st, 2012 at the Institut Mittag-Leffler (the Royal Swedish Academy of Sciences) organized by Bruno Benedetti and Alexander Engstr\\\"{o}m. http://www.mittag-leffler.se/summer2012/summerschools/",
  "categories": [
    "math.GT",
    "math.CO"
  ],
  "abstract": "In recent work the author investigates perfect matchings of a bipartite graph obtained from a knot diagram and demonstrates that these correspond to discrete Morse functions on a 2-complex for the 2-sphere. This relationship is expounded below for the opposite audience: those who may be unfamiliar with knots.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-12T10:38:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M20",
      "57M25",
      "57R70",
      "05C70"
    ],
    "keywords": [
      "correspondence",
      "discrete morse functions",
      "perfect matchings",
      "bipartite graph",
      "knot diagram"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.2553C"
    }
  }
}