{
  "id": "1606.08643",
  "version": "v1",
  "published": "2016-06-28T10:39:50.000Z",
  "updated": "2016-06-28T10:39:50.000Z",
  "title": "On stable commutator lengths of Dehn twists along separating curves",
  "authors": [
    "Naoyuki Monden",
    "Kazuya Yoshihara"
  ],
  "comment": "6 pages",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We give new upper bounds on the stable commutator lengths of Dehn twists along separating curves in the mapping class group of a closed oriented surface. The estimates of these upper bounds are $O(1/g)$, where $g$ is the genus of the surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-28T10:39:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M60",
      "20J06",
      "20F38"
    ],
    "keywords": [
      "stable commutator lengths",
      "dehn twists",
      "separating curves",
      "upper bounds",
      "mapping class group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}