{
  "id": "0901.0300",
  "version": "v3",
  "published": "2009-01-03T02:19:33.000Z",
  "updated": "2010-10-05T14:01:16.000Z",
  "title": "A finiteness theorem for hyperbolic 3-manifolds",
  "authors": [
    "Ian Biringer Juan Souto"
  ],
  "comment": "20 pages, to appear in Journal of the London Mathematical Society",
  "doi": "10.1112/jlms/jdq106",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove that there are only finitely many closed hyperbolic 3-manifolds with injectivity radius and first eigenvalue of the Laplacian bounded below whose fundamental groups can be generated by a given number of elements. An application to arithmetic manifolds is also given.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-10-05T14:01:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "finiteness theorem",
      "injectivity radius",
      "first eigenvalue",
      "fundamental groups",
      "arithmetic manifolds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0901.0300B"
    }
  }
}