{
  "id": "1001.2680",
  "version": "v1",
  "published": "2010-01-15T12:51:53.000Z",
  "updated": "2010-01-15T12:51:53.000Z",
  "title": "Representations and the colored Jones polynomial of a torus knot",
  "authors": [
    "Kazuhiro Hikami",
    "Hitoshi Murakami"
  ],
  "comment": "18 pages, 1 figure, submitted to the Proceedings of the workshop \"Chern-Simons Gauge Theory: 20 Years After\"",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that for a torus knot the SL(2;C) Chern-Simons invariants and the SL(2;C) twisted Reidemeister torsions appear in an asymptotic expansion of the colored Jones polynomial. This suggests a generalization of the volume conjecture that relates the asymptotic behavior of the colored Jones polynomial of a knot to the volume of the knot complement.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-15T12:51:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25",
      "57M50"
    ],
    "keywords": [
      "colored jones polynomial",
      "torus knot",
      "representations",
      "twisted reidemeister torsions appear",
      "chern-simons invariants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.2680H"
    }
  }
}