{
  "id": "2010.13360",
  "version": "v1",
  "published": "2020-10-26T06:12:36.000Z",
  "updated": "2020-10-26T06:12:36.000Z",
  "title": "Quotients of the curve complex",
  "authors": [
    "Joseph Maher",
    "Hidetoshi Masai",
    "Saul Schleimer"
  ],
  "comment": "26 pages, 6 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We consider three kinds of quotients of the curve complex which are obtained by coning off uniformly quasi-convex subspaces: symmetric curve sets, non-maximal train track sets, and compression body disc sets. We show that the actions of the mapping class group on those quotients are strongly WPD, which implies that the actions are non-elementary and those quotients are of infinite diameter.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-26T06:12:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E30",
      "20F65",
      "57M50"
    ],
    "keywords": [
      "curve complex",
      "non-maximal train track sets",
      "compression body disc sets",
      "symmetric curve sets",
      "infinite diameter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}