{
  "id": "1302.5519",
  "version": "v1",
  "published": "2013-02-22T08:41:33.000Z",
  "updated": "2013-02-22T08:41:33.000Z",
  "title": "Uniform hyperbolicity of the curve graph via surgery sequences",
  "authors": [
    "Matt Clay",
    "Kasra Rafi",
    "Saul Schleimer"
  ],
  "comment": "18 pages, 3 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove that the curve graph $\\calC^{(1)}(S)$ is Gromov-hyperbolic with a constant of hyperbolicity independent of the surface $S$. The proof is based on the proof of hyperbolicity of the free splitting complex by Handel and Mosher, as interpreted by Hilion and Horbez.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-22T08:41:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M99",
      "32F60"
    ],
    "keywords": [
      "curve graph",
      "surgery sequences",
      "uniform hyperbolicity",
      "free splitting complex",
      "hyperbolicity independent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.5519C"
    }
  }
}