{
  "id": "0711.2836",
  "version": "v2",
  "published": "2007-11-19T03:49:07.000Z",
  "updated": "2008-04-19T00:11:40.000Z",
  "title": "Colored Jones polynomials with polynomial growth",
  "authors": [
    "Kazuhiro Hikami",
    "Hitoshi Murakami"
  ],
  "comment": "17 pages, to appear in Commun. Contemp. Math",
  "categories": [
    "math.GT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The volume conjecture and its generalizations say that the colored Jones polynomial corresponding to the N-dimensional irreducible representation of sl(2;C) of a (hyperbolic) knot evaluated at exp(c/N) grows exponentially with respect to N if one fixes a complex number c near 2*Pi*I. On the other hand if the absolute value of c is small enough, it converges to the inverse of the Alexander polynomial evaluated at exp(c). In this paper we study cases where it grows polynomially.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-04-19T00:11:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "colored jones polynomial",
      "polynomial growth",
      "alexander polynomial",
      "absolute value",
      "complex number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.2836H"
    }
  }
}