{
  "id": "1301.4025",
  "version": "v2",
  "published": "2013-01-17T09:28:36.000Z",
  "updated": "2013-04-18T14:00:45.000Z",
  "title": "A note on the growth of Betti numbers and ranks of 3-manifold groups",
  "authors": [
    "Stefan Friedl"
  ],
  "comment": "10 pages, updated references",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let N be an irreducible, compact 3-manifold with empty or toroidal boundary which is not a closed graph manifold. Using recent work of Agol, Kahn-Markovic and Przytycki-Wise we will show that pi_1(N) admits a cofinal filtration with `fast' growth of Betti numbers as well as a cofinal filtration of pi_1(N) with `slow' growth of ranks.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-18T14:00:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "betti numbers",
      "cofinal filtration",
      "closed graph manifold",
      "toroidal boundary",
      "kahn-markovic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.4025F"
    }
  }
}