{
  "id": "math/0203119",
  "version": "v2",
  "published": "2002-03-13T09:14:08.000Z",
  "updated": "2002-06-17T08:11:53.000Z",
  "title": "Kashaev's conjecture and the Chern-Simons invariants of knots and links",
  "authors": [
    "Hitoshi Murakami",
    "Jun Murakami",
    "Miyuki Okamoto",
    "Toshie Takata",
    "Yoshiyuki Yokota"
  ],
  "comment": "14 pages, 9 figures. Added some calculations",
  "journal": "Experiment. Math. 11 (2002), no. 3, 427--435",
  "categories": [
    "math.GT"
  ],
  "abstract": "R.M. Kashaev conjectured that the asymptotic behavior of his link invariant, which equals the colored Jones polynomial evaluated at a root of unity, determines the hyperbolic volume of any hyperbolic link complement. We observe numerically that for knots $6_3$, $8_9$ and $8_{20}$ and for the Whitehead link, the colored Jones polynomials are related to the hyperbolic volumes and the Chern-Simons invariants and propose a complexification of Kashaev's conjecture.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-06-17T08:11:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "kashaevs conjecture",
      "chern-simons invariants",
      "colored jones polynomial",
      "hyperbolic volume",
      "hyperbolic link complement"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......3119M"
    }
  }
}