{
  "id": "0905.1302",
  "version": "v3",
  "published": "2009-05-08T17:24:29.000Z",
  "updated": "2010-03-23T01:24:25.000Z",
  "title": "On the minimum dilatation of pseudo-Anosov homeomorphisms on surfaces of small genus",
  "authors": [
    "Erwan Lanneau",
    "Jean-Luc Thiffeault"
  ],
  "comment": "30 pages, 6 figures. amsart style. To appear in Annales de l'Institut Fourier. Added one reference in v3.",
  "journal": "Annales de l'Institut Fourier 61 (1), 105-144, 2011",
  "categories": [
    "math.GT",
    "math.DS"
  ],
  "abstract": "We find the minimum dilatation of pseudo-Anosov homeomorphisms that stabilize an orientable foliation on surfaces of genus three, four, or five, and provide a lower bound for genus six to eight. Our technique also simplifies Cho and Ham's proof of the least dilatation of pseudo-Anosov homeomorphisms on a genus two surface. For genus g=2 to 5, the mimimum dilatation is the smallest Salem number for polynomials of degree 2g.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-03-23T01:24:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D40",
      "37E30"
    ],
    "keywords": [
      "pseudo-anosov homeomorphisms",
      "minimum dilatation",
      "small genus",
      "smallest salem number",
      "hams proof"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.1302L"
    }
  }
}