{
  "id": "1307.6226",
  "version": "v3",
  "published": "2013-07-23T20:07:34.000Z",
  "updated": "2015-02-02T16:57:01.000Z",
  "title": "Pseudo-Anosov dilatations and the Johnson filtration",
  "authors": [
    "Justin Malestein",
    "Andrew Putman"
  ],
  "comment": "20 pages, 3 figures; to appear in Groups Geom. Dyn",
  "categories": [
    "math.GT"
  ],
  "abstract": "Answering a question of Farb-Leininger-Margalit, we give explicit lower bounds for the dilatations of pseudo-Anosov mapping classes lying in the kth term of the Johnson filtration of the mapping class group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-29T21:16:57.000Z",
      "comment": "19 pages, 3 figures; minor corrections",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-02-02T16:57:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "johnson filtration",
      "pseudo-anosov dilatations",
      "explicit lower bounds",
      "kth term",
      "mapping class group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.6226M"
    }
  }
}