2 citations · 3 across the 3 of their papers we have counts for
9 papers
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…
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…
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…
Profinite invariants of arithmetic groups
Holger Kammeyer, Steffen Kionke, Jean Raimbault +1
We prove that the sign of the Euler characteristic of arithmetic groups with CSP is determined by the profinite completion. In contrast, we construct examples showing that this is…
Betti numbers of Shimura curves and arithmetic three--orbifolds
Mikołaj Frączyk, Jean Raimbault
We show that asymptotically the first Betti number, or the arithmetic genus, of a Shimura curve satisfies the Gauss--Bonnet equality. We also show that the first Betti number of a…
Subgroup growth of virtually cyclic right-angled Coxeter groups and their free products
Hyungryul Baik, Bram Petri, Jean Raimbault
We determine the asymptotic number of index subgroups in virtually cyclic right-angled Coxeter groups and their free products as .