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math.GT2004★ 2 cited
Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements II
Colin Adams, Hanna Bennett, Christopher Davis +4
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…
math.GT2004
Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements I
Colin Adams, Eric Schoenfeld
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…
math.GT1998
Simple Closed Geodesics in Hyperbolic 3-Manifolds
Colin Adams, Joel Hass, Peter Scott
This paper determines which orientable hyperbolic 3-manifolds contain simple closed geodesics. The Fuchsian group corresponding to the thrice-punctured sphere generates the only ex…