Hyperbolicity of Augmented Links in the Thickened Torus

Alice Kwon; Ying Hong Tham

doi:10.1142/s0218216522500250

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arXiv · 2010.10601

Hyperbolicity of Augmented Links in the Thickened Torus

Alice Kwon·Ying Hong Tham

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Abstract

For a hyperbolic link K in the thickened torus with no bigons, we show that there is a decomposition of the complement of a link L, obtained from augmenting K, into torihedra. We further decompose the torihedra into angled pyramids and finally angled tetrahedra. These fit into an angled structure on a triangulation of the link complement, and thus by [5], this shows that L is hyperbolic.

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Alice Kwon, Ying Hong Tham. 2020-10-20. Hyperbolicity of Augmented Links in the Thickened Torus. https://doi.org/10.1142/s0218216522500250

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