Download this article
 Download this article For screen
For printing
Recent Issues

Volume 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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
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.