Determining hyperbolicity of compact orientable 3-manifolds with torus boundary

2014/10/27 by Robert C. Haraway, Haraway, Robert C.
Computer Science · Mathematics · #57M50 #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #J.2 #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1410.7115

openalex publication_date 2014/10/27 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

Thurston's hyperbolization theorem for Haken manifolds and normal surface theory yield an algorithm to determine whether or not a compact orientable 3-manifold with nonempty boundary consisting of tori admits a complete finite-volume hyperbolic metric on its interior. A conjecture of Gabai, Meyerhoff, and Milley reduces to a computation using this algorithm.

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