{
  "id": "math/0603217",
  "version": "v3",
  "published": "2006-03-09T12:13:25.000Z",
  "updated": "2006-04-15T11:16:13.000Z",
  "title": "A version of the volume conjecture",
  "authors": [
    "Hitoshi Murakami"
  ],
  "comment": "5 pages, added more comments",
  "journal": "Advances in Mathematics, Volume 211, Issue 2, 1 June 2007, Pages 678-683",
  "doi": "10.1016/j.aim.2006.09.005",
  "categories": [
    "math.GT"
  ],
  "abstract": "We propose a version of the volume conjecture that would relate a certain limit of the colored Jones polynomials of a knot to the volume function defined by a representation of the fundamental group of the knot complement to the special linear group of degree two over complex numbers. We also confirm the conjecture for the figure-eight knot and torus knots. This version is different from S. Gukov's because of a choice of polarization.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-04-15T11:16:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25",
      "57M50"
    ],
    "keywords": [
      "volume conjecture",
      "special linear group",
      "complex numbers",
      "colored jones polynomials",
      "knot complement"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3217M"
    }
  }
}