{
  "id": "math/0102049",
  "version": "v1",
  "published": "2001-02-06T23:06:49.000Z",
  "updated": "2001-02-06T23:06:49.000Z",
  "title": "The Culler-Shalen seminorms of the (-3,3,4) pretzel knot",
  "authors": [
    "Thomas W. Mattman"
  ],
  "comment": "7 pages, 3 figures",
  "journal": "Proc. of Knot Theory - dedicated to Prof. Murasugi (Univ. of Toronto '99) (2000) 212-218",
  "categories": [
    "math.GT"
  ],
  "abstract": "We describe a method to compute the Culler-Shalen seminorms of a knot, using the (-3,3,4) pretzel knot as an illustrative example. We deduce that the SL2(C)-character variety of this knot consists of three algebraic curves and that it admits no non-trivial cyclic or finite surgeries. We also summarize similar results for other (-3,3,n) pretzel knots including the observation that the Seifert surgeries for these knots are precisely those integral slopes lying between two of the boundary slopes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-02-06T23:06:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57R65"
    ],
    "keywords": [
      "pretzel knot",
      "culler-shalen seminorms",
      "integral slopes",
      "seifert surgeries",
      "summarize similar results"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......2049M"
    }
  }
}