{
  "id": "math/0307083",
  "version": "v1",
  "published": "2003-07-07T21:54:43.000Z",
  "updated": "2003-07-07T21:54:43.000Z",
  "title": "Quasiconvexity in the curve complex",
  "authors": [
    "Howard A. Masur",
    "Yair N. Minsky"
  ],
  "comment": "11 pages, 2 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let S be the boundary of a handlebody M. We prove that the set of curves in S that are boundaries of disks in M, considered as a subset of the complex of curves of S, is quasi-convex.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-07-07T21:54:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30F60",
      "57M99"
    ],
    "keywords": [
      "curve complex",
      "quasiconvexity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......7083M"
    }
  }
}