{
  "id": "math/0311084",
  "version": "v1",
  "published": "2003-11-06T16:50:27.000Z",
  "updated": "2003-11-06T16:50:27.000Z",
  "title": "Knot Floer homology of (1,1)-knots",
  "authors": [
    "Hiroshi Goda",
    "Hiroshi Matsuda",
    "Takayuki Morifuji"
  ],
  "comment": "17 pages, 17 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We present a combinatorial method for a calculation of knot Floer homology with Z-coefficient of (1,1)-knots, and then demonstrate it for non-alternating (1,1)-knots with ten crossings and the pretzel knots of type (-2,m,n). Our calculations determine the unknotting numbers and 4-genera of the pretzel knots of this type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-06T16:50:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57Q60"
    ],
    "keywords": [
      "knot floer homology",
      "pretzel knots",
      "combinatorial method",
      "calculations determine"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11084G"
    }
  }
}