{
  "id": "1804.11133",
  "version": "v1",
  "published": "2018-04-30T11:49:39.000Z",
  "updated": "2018-04-30T11:49:39.000Z",
  "title": "The Geometry of the Handlebody Groups II: Dehn functions",
  "authors": [
    "Ursula Hamenstädt",
    "Sebastian Hensel"
  ],
  "comment": "29 pages, 8 figures",
  "categories": [
    "math.GR",
    "math.GT",
    "math.MG"
  ],
  "abstract": "We show that the Dehn function of the handlebody group is exponential in any genus $g\\geq 3$. On the other hand, we show that the handlebody group of genus $2$ is cubical, biautomatic, and therefore has a quadratic Dehn function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-30T11:49:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "handlebody group",
      "quadratic dehn function",
      "biautomatic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}