{
  "id": "math/9911085",
  "version": "v3",
  "published": "1999-11-12T17:38:30.000Z",
  "updated": "2001-08-08T06:14:44.000Z",
  "title": "The Culler-Shalen seminorms of the (-2,3,n) pretzel knot",
  "authors": [
    "Thomas W. Mattman"
  ],
  "comment": "34 pages, 11 figures; Results unchanged but major revision of logic and more detailed arguments",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that the SL(2,C)-character variety of the (-2,3,n) pretzel knot consists of two (respectively three) algebraic curves when 3 does not divide n (respectively 3 divides n) and give an explicit calculation of the Culler-Shalen seminorms of these curves. Using this calculation, we describe the fundamental polygon and Newton polygon for these knots and give a list of Dehn surgeries yielding a manifold with finite or cyclic fundamental group. This constitutes a new proof of property P for these knots.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-08-08T06:14:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57R65"
    ],
    "keywords": [
      "culler-shalen seminorms",
      "cyclic fundamental group",
      "pretzel knot consists",
      "dehn surgeries",
      "algebraic curves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....11085M"
    }
  }
}