{
  "id": "math/0612221",
  "version": "v1",
  "published": "2006-12-08T21:09:29.000Z",
  "updated": "2006-12-08T21:09:29.000Z",
  "title": "On parameterizations of Teichmüller spaces of surfaces with boundary",
  "authors": [
    "Ren Guo"
  ],
  "comment": "12 pages, 4 figures",
  "journal": "J. Differential Geom. 82 (2009), no. 3, 629--640",
  "categories": [
    "math.GT"
  ],
  "abstract": "In \\cite{rigidity}, Luo introduced a $\\psi_{\\lambda}$ edge invariant which turns out to be a coordinate of the Teichm\\\"uller space of a surface with boundary. And he proved that for $\\lambda \\geq 0$, the image of the Teichm\\\"uller space under $\\psi_{\\lambda}$ edge invariant coordinate is an open cell. In this paper we verify his conjecture that for $\\lambda<0$, the image of the Teichm\\\"uller space is a bounded convex polytope.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-08T21:09:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "30F45",
      "30F60"
    ],
    "keywords": [
      "teichmüller spaces",
      "parameterizations",
      "edge invariant coordinate",
      "bounded convex polytope",
      "open cell"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12221G"
    }
  }
}