{
  "id": "1104.5221",
  "version": "v1",
  "published": "2011-04-27T19:32:34.000Z",
  "updated": "2011-04-27T19:32:34.000Z",
  "title": "Turn graphs and extremal surfaces in free groups",
  "authors": [
    "Noel Brady",
    "Matt Clay",
    "Max Forester"
  ],
  "comment": "8 pages, 4 figures",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "This note provides an alternate account of Calegari's rationality theorem for stable commutator length in free groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-27T19:32:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M07",
      "20F65",
      "20J05"
    ],
    "keywords": [
      "free groups",
      "extremal surfaces",
      "turn graphs",
      "calegaris rationality theorem",
      "alternate account"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.5221B"
    }
  }
}