{
  "id": "1209.4239",
  "version": "v3",
  "published": "2012-09-19T13:42:14.000Z",
  "updated": "2012-10-23T13:59:50.000Z",
  "title": "On a conjecture of Dunfield, Friedl and Jackson",
  "authors": [
    "Takayuki Morifuji"
  ],
  "comment": "4 pages, 1 figure; final version, to appear in C. R. Acad. Sci. Paris, Ser. I",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this short note, we show that the twisted Alexander polynomial associated to a parabolic SL(2,C)-representation detects genus and fibering of the twist knots. As a corollary, a conjecture of Dunfield, Friedl and Jackson is proved for the hyperbolic twist knots.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-10-23T13:59:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conjecture",
      "hyperbolic twist knots",
      "parabolic sl",
      "detects genus",
      "short note"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.4239M"
    }
  }
}