Geometric triangulations and highly twisted links
arXiv:2005.11899 · doi:10.2140/agt.2023.23.1399
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.
arXiv comment40 pages, 21 figures. V2: Improved exposition. V3 Minor changes to address referee comments. To appear in Algebraic & Geometric Topology
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