{
  "id": "math/0412006",
  "version": "v2",
  "published": "2004-12-01T05:27:49.000Z",
  "updated": "2011-03-09T03:58:26.000Z",
  "title": "The classification of Kleinian surface groups, II: The Ending Lamination Conjecture",
  "authors": [
    "Jeffrey F. Brock",
    "Richard D. Canary",
    "Yair N. Minsky"
  ],
  "comment": "143 pages. Comprehensive revision and inclusion of the incompressible ends case",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "Thurston's Ending Lamination Conjecture states that a hyperbolic 3-manifold N with finitely generated fundamental group is uniquely determined by its topological type and its end invariants. In this paper we prove this conjecture for Kleinian surface groups; the general case when N has incompressible ends relative to its cusps follows readily. The main ingredient is the establishment of a uniformly bilipschitz model for a Kleinian surface group. The first half of the proof appeared in math.GT/0302208, and a subsequent paper will establish the Ending Lamination Conjecture in general.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-03-09T03:58:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30F40",
      "57M50"
    ],
    "keywords": [
      "kleinian surface group",
      "thurstons ending lamination conjecture states",
      "classification",
      "subsequent paper",
      "end invariants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 143,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12006B"
    }
  }
}