{
  "id": "math/0610238",
  "version": "v2",
  "published": "2006-10-09T15:52:45.000Z",
  "updated": "2006-11-14T14:37:03.000Z",
  "title": "Combinatorial Description of Knot Floer Homology of Cyclic Branched Covers",
  "authors": [
    "J. Elisenda Grigsby"
  ],
  "comment": "20 pages, 14 figures; Minor expositional improvements, typos corrected throughout (most seriously, the x,y coordinates used in discussion of intersection points beginning page 13 of previous version were incorrectly--but consistently--flipped)",
  "categories": [
    "math.GT"
  ],
  "abstract": "We introduce a simple combinatorial method for computing all versions of the knot Floer homology of the preimage of a two-bridge knot K(p,q) inside its double-branched cover, -L(p,q). The 4-pointed genus 1 Heegaard diagram we obtain looks like a twisted version of the toroidal grid diagrams recently introduced by Manolescu, Ozsvath, and Sarkar. We conclude with a discussion of how one might obtain nice Heegaard diagrams for cyclic branched covers of more general knots.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-11-14T14:37:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R58",
      "57M12",
      "57M27"
    ],
    "keywords": [
      "knot floer homology",
      "cyclic branched covers",
      "combinatorial description",
      "simple combinatorial method",
      "toroidal grid diagrams"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10238E"
    }
  }
}