{
  "id": "math/0411358",
  "version": "v1",
  "published": "2004-11-16T08:50:31.000Z",
  "updated": "2004-11-16T08:50:31.000Z",
  "title": "Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements II",
  "authors": [
    "Colin Adams",
    "Hanna Bennett",
    "Christopher Davis",
    "Michael Jennings",
    "Jennifer Novak",
    "Nicholas Perry",
    "Eric Schoenfeld"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We generalize the results of [AS], finding large classes of totally geodesic Seifert surfaces in hyperbolic knot and link complements, each the lift of a rigid 2-orbifold embedded in some hyperbolic 3-orbifold. In addition, we provide a uniqueness theorem and demonstrate that many knots cannot possess totally geodesic Seifert surfaces by giving bounds on the width invariant in the presence of such a surface. Finally, we utilize these examples to demonstrate that the Six Theorem is sharp for knot complements in the 3-sphere.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-16T08:50:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M50"
    ],
    "keywords": [
      "hyperbolic knot",
      "link complements",
      "possess totally geodesic seifert surfaces",
      "knot complements",
      "width invariant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11358A"
    }
  }
}