{
  "id": "0710.3794",
  "version": "v2",
  "published": "2007-10-19T23:05:18.000Z",
  "updated": "2010-05-12T15:32:38.000Z",
  "title": "Curve complexes are rigid",
  "authors": [
    "Kasra Rafi",
    "Saul Schleimer"
  ],
  "comment": "20 pages, two figures, revised to reflect referee comments",
  "categories": [
    "math.GT"
  ],
  "abstract": "Any quasi-isometry of the complex of curves is bounded distance from a simplicial automorphism. As a consequence, the quasi-isometry type of the curve complex determines the homeomorphism type of the surface.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-05-12T15:32:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "51M10",
      "20F65"
    ],
    "keywords": [
      "curve complexes",
      "curve complex determines",
      "simplicial automorphism",
      "homeomorphism type",
      "quasi-isometry type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.3794R"
    }
  }
}