{
  "id": "1512.04420",
  "version": "v1",
  "published": "2015-12-14T17:37:47.000Z",
  "updated": "2015-12-14T17:37:47.000Z",
  "title": "Projections of the sphere graph to the arc graph of a surface",
  "authors": [
    "Brian H. Bowditch",
    "Francesca Iezzi"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "Let S be a compact surface, and M be the double of a handlebody. Given a homotopy class of maps from S to M inducing an isomorphism of fundamental groups, we describe a canonical uniformly Lipschitz retraction of the sphere graph of M to the arc graph of S.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-14T17:37:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65"
    ],
    "keywords": [
      "arc graph",
      "sphere graph",
      "projections",
      "homotopy class",
      "fundamental groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151204420B"
    }
  }
}