{
  "id": "1102.3530",
  "version": "v1",
  "published": "2011-02-17T09:07:42.000Z",
  "updated": "2011-02-17T09:07:42.000Z",
  "title": "The colored Jones polynomial, the Chern--Simons invariant, and the Reidemeister torsion of the figure-eight knot",
  "authors": [
    "Hitoshi Murakami"
  ],
  "comment": "35 pages, 4 figures",
  "doi": "10.1112/jtopol/jts036",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that from the asymptotic behavior of an evaluation of the colored Jones polynomial of the figure-eight knot we can extract the Chern--Simons invariant and the twisted Reidemeister torsion associated with a representation of the fundamental group of the knot complement to the two-dimensional complex special linear group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-17T09:07:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25",
      "57M50"
    ],
    "keywords": [
      "colored jones polynomial",
      "chern-simons invariant",
      "reidemeister torsion",
      "figure-eight knot",
      "two-dimensional complex special linear group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.3530M"
    }
  }
}