{
  "id": "1511.09446",
  "version": "v1",
  "published": "2015-11-30T20:00:56.000Z",
  "updated": "2015-11-30T20:00:56.000Z",
  "title": "Splittings of free groups from arcs and curves",
  "authors": [
    "Maxwell Forlini"
  ],
  "comment": "16 pages",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We show that the arc graph of $S_g^1$ is a coarse Lipschitz retract of the free splitting complex of $F_{2g}$. We also show that the arc and curve graph of $S_g^1$ is a coarse Lipschitz retract of both the cyclic splitting graph of $F_{2g}$ and the maximally cyclic splitting graph of $F_{2g}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-30T20:00:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65"
    ],
    "keywords": [
      "free groups",
      "coarse lipschitz retract",
      "arc graph",
      "maximally cyclic splitting graph",
      "curve graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151109446F"
    }
  }
}