English

Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements I

Geometric Topology 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0411162,
  title  = {Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements I},
  author = {Colin Adams and Eric Schoenfeld},
  journal= {arXiv preprint arXiv:math/0411162},
  year   = {2007}
}
R2 v1 2026-07-22T17:12:05.949Z