{
  "id": "1304.5770",
  "version": "v1",
  "published": "2013-04-21T17:30:29.000Z",
  "updated": "2013-04-21T17:30:29.000Z",
  "title": "On the character variety of the four-holed sphere",
  "authors": [
    "Sara Maloni",
    "Frederic Palesi",
    "Ser Peow Tan"
  ],
  "comment": "22 pages, 1 figure",
  "categories": [
    "math.GT"
  ],
  "abstract": "We study the (relative) SL(2,C) character varieties of the four-holed sphere and the action of the mapping class group on it. We describe a domain of discontinuity for this action, and, in the case of real characters, show that this domain of discontinuity may be non-empty on the components where the relative euler class is non-maximal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-21T17:30:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M60",
      "30F60",
      "20H10"
    ],
    "keywords": [
      "character variety",
      "four-holed sphere",
      "mapping class group",
      "discontinuity",
      "real characters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.5770M"
    }
  }
}