Determining hyperbolicity of compact orientable 3-manifolds with torus boundary
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Publication:5120147
DOI10.20382/JOCG.V11I1A5zbMATH Open1485.57017arXiv1410.7115OpenAlexW3081558141MaRDI QIDQ5120147
Publication date: 9 September 2020
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.
Full work available at URL: https://arxiv.org/abs/1410.7115
Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Hyperbolic 3-manifolds (57K32)
Related Items (4)
Practical bounds for a Dehn parental test ⋮ Combinatorial Ricci flows and the hyperbolization of a class of compact 3-manifolds ⋮ A rigidity theorem for Haken manifolds ⋮ The canonical decompositions of some family of compact orientable hyperbolic 3-manifolds with totally geodesic boundary
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