Hyperbolicity of Augmented Links in the Thickened Torus
Geometric Topology
2022-11-01 v4
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.
Cite
@article{arxiv.2010.10601,
title = {Hyperbolicity of Augmented Links in the Thickened Torus},
author = {Alice Kwon and Ying Hong Tham},
journal= {arXiv preprint arXiv:2010.10601},
year = {2022}
}
Comments
Update based on reviewer suggestions, added remark on stretching the application of main theorem