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Geometric
triangulations and highly twisted links
Sophie L Ham and Jessica S Purcell |
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Algebraic & Geometric Topology 23 (2023) 1399–1462
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Abstract |
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It is conjectured that every cusped hyperbolic –manifold admits a geometric triangulation, that is, it can be decomposed into positive volume ideal hyperbolic tetrahedra. We show that sufficiently highly twisted knots admit a geometric triangulation. In addition, by extending work of Guéritaud and Schleimer, we also give quantified versions of this result for infinite families of examples. |
Keywords
geometric triangulation, hyperbolic knots, fully augmented
link, Dehn filling
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Mathematical Subject Classification
Primary: 57K10, 57K31, 57K32, 57R05
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References |
Publication
Received: 13 May 2021
Revised: 25 August 2021
Accepted: 19 September 2021
Published: 6 June 2023
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Authors |
| Sophie L Ham | |
| School of Mathematics Monash University Clayton Australia |
School of Mathematics and
Statistics The University of Sydney Sydney Australia |
| Jessica S Purcell | |
| School of Mathematics Monash University Clayton Australia |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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