{
  "id": "math/0607691",
  "version": "v2",
  "published": "2006-07-26T23:00:47.000Z",
  "updated": "2007-08-23T20:48:58.000Z",
  "title": "A combinatorial description of knot Floer homology",
  "authors": [
    "Ciprian Manolescu",
    "Peter Ozsvath",
    "Sucharit Sarkar"
  ],
  "comment": "22 pages; 9 figures. Expanded proof of Proposition 2.3 and corrected typeos",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "Given a grid presentation of a knot (or link) K in the three-sphere, we describe a Heegaard diagram for the knot complement in which the Heegaard surface is a torus and all elementary domains are squares. Using this diagram, we obtain a purely combinatorial description of the knot Floer homology of K.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-08-23T20:48:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R58",
      "57M25"
    ],
    "keywords": [
      "knot floer homology",
      "elementary domains",
      "grid presentation",
      "heegaard surface",
      "knot complement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7691M"
    }
  }
}