{
  "id": "0809.4435",
  "version": "v2",
  "published": "2008-09-25T15:54:56.000Z",
  "updated": "2008-09-25T22:41:32.000Z",
  "title": "Boundary slopes and the numbers of positive/negative crossings for Montesinos knots",
  "authors": [
    "Kazuhiro Ichihara",
    "Shigeru Mizushima"
  ],
  "comment": "15 pages, 11 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that a finite numerical boundary slope of an essential surface in the exterior of a Montesinos knot is bounded above and below in terms of the numbers of positive/negative crossings of a specific minimal diagram of the knot.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-09-25T22:41:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "montesinos knot",
      "positive/negative crossings",
      "finite numerical boundary slope",
      "specific minimal diagram",
      "essential surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.4435I"
    }
  }
}