{
  "id": "1405.4055",
  "version": "v4",
  "published": "2014-05-16T03:10:25.000Z",
  "updated": "2014-09-02T16:34:31.000Z",
  "title": "On the AJ conjecture for cables of the figure eight knot",
  "authors": [
    "Anh T. Tran"
  ],
  "comment": "New York Journal of Mathematics 20 (2014) 727-741",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "The AJ conjecture relates the A-polynomial and the colored Jones polynomial of a knot in the 3-sphere. It has been verified for some classes of knots, including all torus knots, most double twist knots, (-2,3,6n \\pm 1)-pretzel knots, and most cabled knots over torus knots. In this paper we study the AJ conjecture for (r,2)-cables of a knot, where r is an odd integer. In particular, we show that the AJ conjecture holds true for (r,2)-cables of the figure eight knot, where r is an odd integer satisfying |r| \\ge 9.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-07-24T14:41:18.000Z",
      "comment": "Minor changes. To appear in the New York Journal of Mathematics",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2014-09-02T16:34:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10",
      "57M25"
    ],
    "keywords": [
      "torus knots",
      "odd integer",
      "aj conjecture holds true",
      "aj conjecture relates",
      "double twist knots"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.4055T"
    }
  }
}