Determining hyperbolicity of compact orientable 3-manifolds with torus boundary

Robert C. Haraway III

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arXiv · 1410.7115

Determining hyperbolicity of compact orientable 3-manifolds with torus boundary

Robert C. Haraway III

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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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Robert C. Haraway III. 2014-10-27. Determining hyperbolicity of compact orientable 3-manifolds with torus boundary. https://arxiv.org/abs/1410.7115

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