{
  "id": "1610.04278",
  "version": "v1",
  "published": "2016-10-13T22:21:53.000Z",
  "updated": "2016-10-13T22:21:53.000Z",
  "title": "Lower Bound For Dilatations",
  "authors": [
    "Mehdi Yazdi"
  ],
  "comment": "7 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove a new lower bound for the dilatation of an arbitrary pseudo-Anosov map on a surface of genus g with n punctures. Our bound improves the former exponential dependence on the genus by a polynomial dependence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-13T22:21:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower bound",
      "dilatation",
      "arbitrary pseudo-anosov map",
      "polynomial dependence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}