{
  "id": "math/0407521",
  "version": "v4",
  "published": "2004-07-30T04:05:30.000Z",
  "updated": "2006-03-27T02:38:57.000Z",
  "title": "The Colored Jones Polynomial and the A-Polynomial of Knots",
  "authors": [
    "Thang T. Q. Le"
  ],
  "comment": "Typos and minor mistakes corrected. To appear in Advances in Mathematics",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We study relationships between the colored Jones polynomial and the A-polynomial of a knot. We establish for a large class of 2-bridge knots the AJ conjecture (of Garoufalidis) that relates the colored Jones polynomial and the A-polynomial. Along the way we also calculate the Kauffman bracket skein module of all 2-bridge knots. Some properties of the colored Jones polynomial of alternating knots are established.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2006-03-27T02:38:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "colored jones polynomial",
      "a-polynomial",
      "kauffman bracket skein module",
      "study relationships",
      "aj conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......7521L"
    }
  }
}