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math.GT2022★ 2 cited
Coxeter polytopes and Benjamini--Schramm convergence
Jean Raimbault
We observe that a large part of the volume of a hyperbolic polyhedron is taken by a tubular neighbourhood of its boundary, and use this to give a new proof for the finiteness of ar…
math.GT2020★ 1 cited
A model for random three--manifolds
Bram Petri, Jean Raimbault
We study compact three-manifolds with boundary obtained by randomly gluing together truncated tetrahedra along their faces. We prove that, asymptotically almost surely as the numbe…
math.GT2020
Twisted -torsion on the character variety
Léo Bénard, Jean Raimbault
We define a twisted -torsion on the character variety of 3-manifold and study some of its properties. In the case where is hyperbolic of finite volume, we prove that t…