Hyperbolicity of Augmented Links in the Thickened Torus
arXiv:2010.10601 · doi:10.1142/S0218216522500250
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.
Update based on reviewer suggestions, added remark on stretching the application of main theorem