{
  "id": "1202.3241",
  "version": "v2",
  "published": "2012-02-15T09:27:38.000Z",
  "updated": "2012-02-23T18:52:53.000Z",
  "title": "The SU(2)-character varieties of torus knots",
  "authors": [
    "Javier Martínez-Martínez",
    "Vicente Muñoz"
  ],
  "comment": "13 pages, 2 figures; v2. Reference updated",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let G be the fundamental group of the complement of the torus knot of type (m,n). We study the relationship between SU(2) and SL(2,C)-representations of this group, looking at their characters. Using the description of the SL(2,C)-character variety of G, X(G), we give a geometric description of Y(G)\\subset X(G), the set of characters arising from SU(2)-representations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-23T18:52:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D20",
      "57M25",
      "57M27"
    ],
    "keywords": [
      "torus knot",
      "fundamental group",
      "characters",
      "geometric description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.3241M"
    }
  }
}