{
  "id": "math/0607601",
  "version": "v3",
  "published": "2006-07-24T15:44:11.000Z",
  "updated": "2008-08-11T06:54:00.000Z",
  "title": "Orbit equivalence rigidity for ergodic actions of the mapping class group",
  "authors": [
    "Yoshikata Kida"
  ],
  "comment": "11 pages, title changed, a part of contents removed",
  "journal": "Geom.Dedicata 131 (2008) 99-109",
  "doi": "10.1007/s10711-007-9219-8",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We establish orbit equivalence rigidity for any ergodic, essentially free and measure-preserving action on a standard Borel space with a finite positive measure of the mapping class group for a compact orientable surface with higher complexity. We prove similar rigidity results for a finite direct product of mapping class groups as well.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-08-11T06:54:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F38",
      "37A20",
      "37A35"
    ],
    "keywords": [
      "mapping class group",
      "ergodic actions",
      "establish orbit equivalence rigidity",
      "standard borel space",
      "similar rigidity results"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7601K"
    }
  }
}