{
  "id": "math/0503414",
  "version": "v2",
  "published": "2005-03-21T12:04:23.000Z",
  "updated": "2006-08-10T12:26:28.000Z",
  "title": "Topological Quantum Field Theory and the Nielsen-Thurston classification of M(0,4)",
  "authors": [
    "Jorgen Ellegaard Andersen",
    "Gregor Masbaum",
    "Kenji Ueno"
  ],
  "comment": "13 pages, minor modifications, to be published in Math. Proc. Camb. Phil. Soc",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We show that the Nielsen-Thurston classification of mapping classes of the sphere with four marked points is determined by the quantum SU(n)-representations, for any fixed integer $n \\geq 2$. In the Pseudo-Anosov case we also show that the stretching factor is a limit of eigenvalues of (non-unitary) SU(2)-TQFT representation matrices. It follows that at big enough levels, Pseudo-Anosov mapping classes are represented by matrices of infinite order.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-08-10T12:26:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R56",
      "57M50",
      "37E30"
    ],
    "keywords": [
      "topological quantum field theory",
      "nielsen-thurston classification",
      "infinite order",
      "pseudo-anosov mapping classes",
      "quantum su"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 679080,
      "adsabs": "2005math......3414E"
    }
  }
}