Geometric triangulations and highly twisted links

Ham, Sophie L; Purcell, Jessica S

doi:10.2140/agt.2023.23.1399

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Geometric triangulations and highly twisted links

Sophie L Ham and Jessica S Purcell

Algebraic & Geometric Topology 23 (2023) 1399–1462

DOI: 10.2140/agt.2023.23.1399

Abstract

It is conjectured that every cusped hyperbolic $3$ –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

Mathematical Subject Classification

Primary: 57K10, 57K31, 57K32, 57R05

References

Publication

Received: 13 May 2021

Revised: 25 August 2021

Accepted: 19 September 2021

Published: 6 June 2023

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

Open Access made possible by participating institutions via Subscribe to Open.

Volume 23, issue 3 (2023)