{
  "id": "math/0604230",
  "version": "v1",
  "published": "2006-04-10T20:27:56.000Z",
  "updated": "2006-04-10T20:27:56.000Z",
  "title": "On the Head and the Tail of the Colored Jones Polynomial",
  "authors": [
    "Oliver T. Dasbach",
    "Xiao-Song Lin"
  ],
  "comment": "14 pages, 6 figures",
  "journal": "Compositio Math., Vol 142 (2006), No. 5, pp 1332-1342",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "The colored Jones polynomial is a series of one variable Laurent polynomials J(K,n) associated with a knot K in 3-space. We will show that for an alternating knot K the absolute values of the first and the last three leading coefficients of J(K,n) are independent of n when n is sufficiently large. Computation of sample knots indicates that this should be true for any fixed leading coefficient of the colored Jones polynomial for alternating knots. As a corollary we get a Volume-ish Theorem for the colored Jones Polynomial.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-10T20:27:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "colored jones polynomial",
      "leading coefficient",
      "alternating knot",
      "sample knots",
      "absolute values"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......4230D"
    }
  }
}