Geometric triangulations and highly twisted links

Sophie L. Ham; Jessica S. Purcell

doi:10.2140/agt.2023.23.1399

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arXiv · 2005.11899

Geometric triangulations and highly twisted links

Sophie L. Ham·Jessica S. Purcell

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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.

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Sophie L. Ham, Jessica S. Purcell. 2020-05-25. Geometric triangulations and highly twisted links. https://doi.org/10.2140/agt.2023.23.1399

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