Totally geodesic Seifert surfaces in hyperbolic knot and link complements II

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

  • Colin Adams
  • Hanna Bennett
  • Christopher James Davis
  • Michael Jennings
  • Jennifer Novak
  • Nicholas Perry
  • Eric Schoenfeld
We generalize the results of Adams–Schoenfeld, finding large classes of totally geodesic Seifert surfaces in hyperbolic knot and link complements, each covering 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.
OriginalsprogEngelsk
TidsskriftJournal of Differential Geometry
Vol/bind79
Udgave nummer1
Sider (fra-til)1-23
ISSN0022-040X
StatusUdgivet - 2008

ID: 64381879