{
  "id": "1106.0422",
  "version": "v2",
  "published": "2011-06-02T13:04:53.000Z",
  "updated": "2011-06-03T06:11:44.000Z",
  "title": "On upper bounds on stable commutator lengths in mapping class groups",
  "authors": [
    "Naoyuki Monden"
  ],
  "comment": "9 pages, 4 figures, to appear in the special issue of the Topology and its Applications \"Proceedings of the V-JAMEX\" \", references were corrected",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We give new upper bounds on the stable commutator lengths of Dehn twists in mapping class groups and new lower bounds on the stable commutator lengths of Dehn twists in hyperelliptic mapping class groups. In particular, we show that the stable commutator lengths of Dehn twists about a nonseparating and a separating curve on an oriented closed surface of genus 2 are not equal to each other.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-06-03T06:11:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M60",
      "57R17",
      "20J06",
      "20F38"
    ],
    "keywords": [
      "stable commutator lengths",
      "upper bounds",
      "dehn twists",
      "hyperelliptic mapping class groups",
      "lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.0422M"
    }
  }
}