{
  "id": "0907.0172",
  "version": "v3",
  "published": "2009-07-01T19:10:30.000Z",
  "updated": "2009-08-20T16:32:37.000Z",
  "title": "On the Volume Conjecture for Cables of Knots",
  "authors": [
    "Thang T. Q. Le",
    "Anh T. Tran"
  ],
  "comment": "Corrected proof of Lemma 4.5. Accepted to publish in JKTR",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We establish the volume conjecture for (m,2)-cables of the figure 8 knot, when m is odd. For (m,2)-cables of general knots where m is even, we show that the limit in the volume conjecture depends on the parity of the color (of the Kashaev invariant). There are many cases when the volume conjecture for cables of the figure 8 knot is false if one considers all the colors, but holds true if one restricts the colors to a subset of the set of positive integers.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-08-20T16:32:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10",
      "57M25"
    ],
    "keywords": [
      "volume conjecture depends",
      "kashaev invariant",
      "general knots",
      "holds true"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.0172L"
    }
  }
}