{
  "id": "math/0504474",
  "version": "v3",
  "published": "2005-04-22T19:55:44.000Z",
  "updated": "2009-02-28T22:14:09.000Z",
  "title": "Dynamics of the mapping class group action on the variety of PSL(2,C) characters",
  "authors": [
    "Juan Souto",
    "Peter Storm"
  ],
  "comment": "This is the version published by Geometry & Topology on 11 July 2006",
  "journal": "Geom. Topol. 10 (2006) 715-736",
  "doi": "10.2140/gt.2006.10.715",
  "categories": [
    "math.GT"
  ],
  "abstract": "We study the action of the mapping class group Mod(S) on the boundary dQ of quasifuchsian space Q. Among other results, Mod(S) is shown to be topologically transitive on the subset C in dQ of manifolds without a conformally compact end. We also prove that any open subset of the character variety X(pi_1(S),SL(2,C)) intersecting dQ does not admit a nonconstant Mod(S)-invariant meromorphic function. This is related to a question of Goldman.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-02-28T22:14:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "58D27"
    ],
    "keywords": [
      "mapping class group action",
      "mapping class group mod",
      "nonconstant mod",
      "boundary dq",
      "meromorphic function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4474S"
    }
  }
}