{
  "id": "0807.1615",
  "version": "v3",
  "published": "2008-07-10T10:07:22.000Z",
  "updated": "2009-01-27T10:09:22.000Z",
  "title": "Ergodic actions of mapping class groups on moduli spaces of representations of non-orientable surfaces",
  "authors": [
    "Frederic Palesi"
  ],
  "comment": "41 pages, 12 figures, third version. New section added",
  "categories": [
    "math.GT"
  ],
  "abstract": "The purpose of this paper is to study the action of the mapping class group on the moduli space of representations of the fundamental group of a non-orientable surface into SU(2). The action is shown to be ergodic with respect to a natural measure. This measure is defined using the push-forward measure associated to a map defined by the presentation of the surface group. given by the pushforward of Haar measure. This result is an extension of earlier results of Goldman for orientable surfaces.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-01-27T10:09:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M05",
      "22D40",
      "20F34"
    ],
    "keywords": [
      "mapping class group",
      "moduli space",
      "non-orientable surface",
      "ergodic actions",
      "representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.1615P"
    }
  }
}