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

Volume 24
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

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
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
Rigidity at infinity for the Borel function of the tetrahedral reflection lattice

Alessio Savini

Algebraic & Geometric Topology 23 (2023) 1583–1600
Abstract

If Γ is the fundamental group of a complete finite volume hyperbolic 3–manifold, Guilloux conjectured that the Borel function on the PSL (n, )–character variety of Γ should be rigid at infinity, that is it should stay bounded away from its maximum at ideal points.

We prove Guilloux’s conjecture in the particular case of the reflection group associated to a regular ideal tetrahedron of 3.

Keywords
tetrahedral reflection lattice, Borel function, character variety, ideal point
Mathematical Subject Classification 2010
Primary: 57T10
Secondary: 53C35, 57M27
References
Publication
Received: 11 June 2019
Revised: 29 May 2021
Accepted: 14 November 2021
Published: 14 June 2023
Authors
Alessio Savini
Section de Mathématiques
University of Geneva
Geneva
Switzerland

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