{
  "id": "0801.3696",
  "version": "v2",
  "published": "2008-01-24T01:51:06.000Z",
  "updated": "2009-08-14T17:37:47.000Z",
  "title": "Hyperbolic Graphs of Surface Groups",
  "authors": [
    "Honglin Min"
  ],
  "comment": "52 pages, 7 figures, thesis draft",
  "categories": [
    "math.GR"
  ],
  "abstract": "We give a sufficient condition under which the fundamental group of a reglued graph of surfaces is hyperbolic. A reglued graph of surfaces is constructed by cutting a fixed graph of surfaces along the edge surfaces, then regluing by pseudo-Anosov homeomorphisms of the edge surfaces. By carefully choosing the regluing homeomorphism, we construct an example of such a reglued graph of surfaces, whose fundamental group is not abstractly commensurate to any surface-by-free group, i.e., which is different from all the examples given in Mosher's paper 'A hyperbolic-by-hyperbolic hyperbolic group'.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-08-14T17:37:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F67"
    ],
    "keywords": [
      "surface groups",
      "hyperbolic graphs",
      "reglued graph",
      "fundamental group",
      "edge surfaces"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 52,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.3696M"
    }
  }
}