{
  "id": "2008.00875",
  "version": "v1",
  "published": "2020-08-03T13:52:12.000Z",
  "updated": "2020-08-03T13:52:12.000Z",
  "title": "Twisted Alexander polynomials of tunnel number one Montesinos knots",
  "authors": [
    "Airi Aso"
  ],
  "comment": "33 pages, 9 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We calculate the twisted Alexander polynomials of all tunnel number one Montesinos knots associated to their $SL_2(\\mathbb{C})$-representations and obtain their leading coefficients and degrees. As a corollary, we get some interesting examples, that is, nonfibered knots with monic Alexander polynomials which have non-monic twisted Alexander polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-03T13:52:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "montesinos knots",
      "tunnel number",
      "monic alexander polynomials",
      "non-monic twisted alexander polynomials",
      "interesting examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}