{
  "id": "math/0611713",
  "version": "v2",
  "published": "2006-11-23T01:10:24.000Z",
  "updated": "2020-03-17T05:45:47.000Z",
  "title": "Culler-Shalen seminorms of fillings of the Whitehead link exterior",
  "authors": [
    "Gabriel Indurskis"
  ],
  "comment": "34 pages, 3 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We determine the total Culler-Shalen seminorms for the 3-manifolds W_{p/q}:=W(p/q,-) obtained by Dehn filling with slope p/q on one boundary component of the Whitehead link exterior W when p is odd. As part of the proof, we use an explicit parametrization of the eigenvalue variety of W to find a one-variable polynomial whose roots characterize characters of p-reps of \\pi_{1}(W_{p/q}), i.e. representations with values in SL_2(C) which are parabolic on the peripheral subgroup.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-23T01:10:24.000Z",
      "comment": "49 pages, 3 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2020-03-17T05:45:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "20C15",
      "57N10",
      "57R65"
    ],
    "keywords": [
      "whitehead link exterior",
      "total culler-shalen seminorms",
      "slope p/q",
      "boundary component",
      "explicit parametrization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11713I"
    }
  }
}