{
  "id": "0811.0841",
  "version": "v1",
  "published": "2008-11-05T23:21:49.000Z",
  "updated": "2008-11-05T23:21:49.000Z",
  "title": "Injections of mapping class groups",
  "authors": [
    "Javier Aramayona",
    "Christopher J. Leininger",
    "Juan Souto"
  ],
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We construct new monomorphisms between mapping class groups of surfaces. The first family of examples injects the mapping class group of a closed surface into that of a different closed surface. The second family of examples are defined on mapping class groups of once-punctured surfaces and have quite curious behaviour. For instance, some pseudo-Anosov elements are mapped to multi-twists. Neither of these two types of phenomena were previously known to be possible although the constructions are elementary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-05T23:21:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mapping class group",
      "injections",
      "closed surface",
      "examples injects",
      "quite curious behaviour"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.0841A"
    }
  }
}