{
  "id": "1104.3492",
  "version": "v1",
  "published": "2011-04-18T14:19:09.000Z",
  "updated": "2011-04-18T14:19:09.000Z",
  "title": "The curve complex and covers via hyperbolic 3-manifolds",
  "authors": [
    "Robert Tang"
  ],
  "comment": "5 pages",
  "doi": "10.1007/s10711-012-9703-7",
  "categories": [
    "math.GT"
  ],
  "abstract": "Rafi and Schleimer recently proved that the natural relation between curve complexes induced by a covering map between two surfaces is a quasi-isometric embedding. We offer another proof of this result using a distance estimate via hyperbolic 3-manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-18T14:19:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "20F65",
      "32G15"
    ],
    "keywords": [
      "hyperbolic",
      "natural relation",
      "distance estimate",
      "covering map",
      "quasi-isometric"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.3492T"
    }
  }
}