{
  "id": "1703.07458",
  "version": "v1",
  "published": "2017-03-21T22:32:16.000Z",
  "updated": "2017-03-21T22:32:16.000Z",
  "title": "Distortion of surfaces in graph manifolds",
  "authors": [
    "G. Christopher Hruska",
    "Hoang Thanh Nguyen"
  ],
  "comment": "27 pages, 2 figures",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "Let S be an immersed horizontal surface in a 3-dimensional graph manifold. We show that the fundamental group of the surface S is quadratically distorted whenever the surface is virtually embedded (i.e., separable) and is exponentially distorted when the surface is not virtually embedded.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-21T22:32:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "20F65",
      "20F67"
    ],
    "keywords": [
      "graph manifold",
      "distortion",
      "immersed horizontal surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}