{
  "id": "1409.6071",
  "version": "v1",
  "published": "2014-09-22T03:12:18.000Z",
  "updated": "2014-09-22T03:12:18.000Z",
  "title": "On the AJ conjecture for cables of twist knots",
  "authors": [
    "Anh T. Tran"
  ],
  "comment": "14 pages, 1 figure. arXiv admin note: text overlap with arXiv:1111.5258, arXiv:math/0407521, arXiv:1405.4055",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We study the AJ conjecture that relates the A-polynomial and the colored Jones polynomial of a knot in $S^3$. We confirm the AJ conjecture for $(r,2)$-cables of the $m$-twist knot, for all odd integers $r$ satisfying $|r| \\ge \\begin{cases} 5+4m &\\mbox{if } m> 0, \\\\ 3-4m &\\mbox{if } m<0. \\end{cases} $",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-22T03:12:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10",
      "57M25"
    ],
    "keywords": [
      "aj conjecture",
      "twist knot",
      "odd integers",
      "colored jones polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.6071T"
    }
  }
}