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Rigidity at infinity
for the Borel function of the tetrahedral reflection
lattice
Alessio Savini |
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Algebraic & Geometric Topology 23 (2023) 1583–1600
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Abstract |
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If is the fundamental group of a complete finite volume hyperbolic –manifold, Guilloux conjectured that the Borel function on the –character variety of 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 . |
Keywords
tetrahedral reflection lattice, Borel function, character
variety, ideal point
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Mathematical Subject Classification 2010
Primary: 57T10
Secondary: 53C35, 57M27
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References |
Publication
Received: 11 June 2019
Revised: 29 May 2021
Accepted: 14 November 2021
Published: 14 June 2023
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Authors |
| Alessio Savini | |
| Section de Mathématiques University of Geneva Geneva Switzerland |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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