{
  "id": "0812.0425",
  "version": "v1",
  "published": "2008-12-02T04:42:21.000Z",
  "updated": "2008-12-02T04:42:21.000Z",
  "title": "Quandle and hyperbolic volume",
  "authors": [
    "Ayumu Inoue"
  ],
  "comment": "17 pages, 10 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that the hyperbolic volume of a hyperbolic knot is a quandle cocycle invariant. Further we show that it completely determines invertibility and positive/negative amphicheirality of hyperbolic knots.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-02T04:42:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57T99"
    ],
    "keywords": [
      "hyperbolic volume",
      "hyperbolic knot",
      "quandle cocycle invariant",
      "determines invertibility"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.0425I"
    }
  }
}