Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements I

2004/11/08 by Colin Adams, Adams, Colin, Eric Schoenfeld +1
Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #57M25 #57M50 #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M25 #msc:57M50

paper · pdf · doi:10.48550/arxiv.math/0411162

arxiv created 2004/11/08 · openalex publication_date 2004/11/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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