{
  "id": "math/0006002",
  "version": "v1",
  "published": "2000-06-01T15:25:43.000Z",
  "updated": "2000-06-01T15:25:43.000Z",
  "title": "Short geodesics and end invariants",
  "authors": [
    "Yair N. Minsky"
  ],
  "comment": "19 pages, 2 figures. To appear in Proceedings of RIMS Comprehensive Research on Complex Dynamical Systems and Related Fields",
  "categories": [
    "math.GT"
  ],
  "abstract": "This expository article discusses some connections between the geometry of a hyperbolic 3-manifold homotopy-equivalent to a surface, and the combinatorial properties of its end invariants. In particular a necessary and sufficient condition is stated for the manifold to have arbitrarily short geodesics, in terms of a sequence of coefficients called subsurface projection distances, which are analogous in some ways to continued-fraction coefficients. (The proof of sufficiency appeared in math.GT/9907070)",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-06-01T15:25:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30F40",
      "57M50"
    ],
    "keywords": [
      "end invariants",
      "expository article discusses",
      "subsurface projection distances",
      "continued-fraction coefficients",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......6002M"
    }
  }
}