{
  "id": "0910.5501",
  "version": "v5",
  "published": "2009-10-28T21:44:07.000Z",
  "updated": "2011-06-09T07:36:01.000Z",
  "title": "Immersing almost geodesic surfaces in a closed hyperbolic three manifold",
  "authors": [
    "Jeremy Kahn",
    "Vladimir Markovic"
  ],
  "comment": "One figure added and minor corrections. Probably the final version",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let M be a closed hyperbolic three manifold. We construct closed surfaces which map by immersions into M so that for each one the corresponding mapping on the universal covering spaces is an embedding, or, in other words, the corresponding induced mapping on fundamental groups is an injection.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2011-06-09T07:36:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20H10"
    ],
    "keywords": [
      "closed hyperbolic",
      "geodesic surfaces",
      "fundamental groups",
      "construct closed surfaces",
      "universal covering spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.5501K"
    }
  }
}