Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements I

Details Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements I Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements I

2004-11-08

arxiv.org/abs/math/0411162v1

Mathematics

Geometric Topology

Scientific paper

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.

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