{
  "id": "1703.10595",
  "version": "v1",
  "published": "2017-03-30T17:46:11.000Z",
  "updated": "2017-03-30T17:46:11.000Z",
  "title": "Uniform quasiconvexity of the disc graphs in the curve graphs",
  "authors": [
    "Kate M. Vokes"
  ],
  "comment": "8 pages, 3 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give a proof that there exists a universal constant $K$ such that the disc graph associated to a surface $S$ forming a boundary component of a compact, orientable 3-manifold $M$ is $K$-quasiconvex in the curve graph of $S$. Our proof does not require the use of train tracks.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-30T17:46:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "57M99"
    ],
    "keywords": [
      "curve graph",
      "disc graph",
      "uniform quasiconvexity",
      "boundary component",
      "universal constant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}