{
  "id": "math/0302208",
  "version": "v3",
  "published": "2003-02-18T16:21:46.000Z",
  "updated": "2004-12-01T03:23:37.000Z",
  "title": "The classification of Kleinian surface groups, I: Models and bounds",
  "authors": [
    "Yair N. Minsky"
  ],
  "comment": "102 pages, 13 figures. Slight revision of the statement of the main theorem, and a more complete discussion of the exterior of the convex core",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "We give the first part of a proof of Thurston's Ending Lamination conjecture. In this part we show how to construct from the end invariants of a Kleinian surface group a ``Lipschitz model'' for the thick part of the corresponding hyperbolic manifold. This enables us to describe the topological structure of the thick part, and to give a-priori geometric bounds.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-12-01T03:23:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30F40",
      "57M50"
    ],
    "keywords": [
      "kleinian surface group",
      "thick part",
      "classification",
      "thurstons ending lamination conjecture",
      "a-priori geometric bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 102,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......2208M"
    }
  }
}