{
  "id": "1110.6526",
  "version": "v2",
  "published": "2011-10-29T11:47:24.000Z",
  "updated": "2013-02-05T13:27:21.000Z",
  "title": "Hyperbolic spaces in Teichmüller spaces",
  "authors": [
    "Christopher J. Leininger",
    "Saul Schleimer"
  ],
  "comment": "22 pages, revised to reflect referee's comments",
  "categories": [
    "math.GT",
    "math.MG"
  ],
  "abstract": "We prove, for any n, that there is a closed connected orientable surface S so that the hyperbolic space H^n almost-isometrically embeds into the Teichm\\\"uller space of S, with quasi-convex image lying in the thick part. As a consequence, H^n quasi-isometrically embeds in the curve complex of S.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-05T13:27:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30F60",
      "32G15",
      "30L05"
    ],
    "keywords": [
      "hyperbolic space",
      "teichmüller spaces",
      "thick part",
      "curve complex",
      "almost-isometrically embeds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.6526L"
    }
  }
}