{
  "id": "math/0411162",
  "version": "v1",
  "published": "2004-11-08T14:09:57.000Z",
  "updated": "2004-11-08T14:09:57.000Z",
  "title": "Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements I",
  "authors": [
    "Colin Adams",
    "Eric Schoenfeld"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "The first examples of totally geodesic Seifert surfaces are constructed for hyperbolic knots and links, including both free and totally knotted surfaces. Then it is proved that two bridge knot complements cannot contain totally geodesic orientable surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-08T14:09:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M50"
    ],
    "keywords": [
      "totally geodesic seifert surfaces",
      "hyperbolic knot",
      "link complements",
      "contain totally geodesic orientable surfaces",
      "bridge knot complements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11162A"
    }
  }
}