{
  "id": "math/0403445",
  "version": "v2",
  "published": "2004-03-25T17:48:06.000Z",
  "updated": "2004-07-21T22:25:44.000Z",
  "title": "Totally geodesic boundaries of knot complements",
  "authors": [
    "Richard P. Kent IV"
  ],
  "comment": "10 pages, no figures, the exposition has been polished, typographical errors corrected, a modicum of detail added, to appear in Proceedings of the AMS",
  "categories": [
    "math.GT"
  ],
  "abstract": "Given a compact orientable 3-manifold M whose boundary is a hyperbolic surface and a simple closed curve C in its boundary, every knot in M is homotopic to one whose complement admits a complete hyperbolic structure with totally geodesic boundary in which the geodesic representative of C is as small as you like.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-07-21T22:25:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "totally geodesic boundary",
      "knot complements",
      "complete hyperbolic structure",
      "simple closed curve",
      "hyperbolic surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......3445K"
    }
  }
}