Geometric triangulations and highly twisted links
Geometric Topology
2023-06-14 v3
Abstract
It is conjectured that every cusped hyperbolic 3-manifold admits a geometric triangulation, i.e. it is decomposed into positive volume ideal hyperbolic tetrahedra. Here, we show that sufficiently highly twisted knots admit a geometric triangulation. In addition, by extending work of Gueritaud and Schleimer, we also give quantified versions of this result for infinite families of examples.
Cite
@article{arxiv.2005.11899,
title = {Geometric triangulations and highly twisted links},
author = {Sophie L. Ham and Jessica S. Purcell},
journal= {arXiv preprint arXiv:2005.11899},
year = {2023}
}
Comments
40 pages, 21 figures. V2: Improved exposition. V3 Minor changes to address referee comments. To appear in Algebraic & Geometric Topology