94 citations · 605 across the 65 of their papers we have counts for
9 papers · 1 filter
Maximal surfaces and the universal Teichmüller space
Francesco Bonsante, Jean-Marc Schlenker
We show that any element of the universal Teichmüller space is realized by a unique minimal Lagrangian diffeomorphism from the hyperbolic plane to itself. The proof uses maximal su…
On polynomial integrals over the orthogonal group
Teodor Banica, Benoit Collins, Jean-Marc Schlenker
We consider integrals of type , with respect to the Haar measure on the orthogonal group. We establish severa…
The convex core of quasifuchsian manifolds with particles
Cyril Lecuire, Jean-Marc Schlenker
We consider quasifuchsian manifolds with "particles", i.e., cone singularities of fixed angle less than going from one connected component of the boundary at infinity to the ot…
Volume maximization and the extended hyperbolic space
Feng Luo, Jean-Marc Schlenker
We consider a volume maximization program to construct hyperbolic structures on triangulated 3-manifolds, for which previous progress has lead to consider angle assignments which d…
Profiles of inflated surfaces
Igor Pak, Jean-Marc Schlenker
We study the shape of inflated surfaces introduced in \cite{B1} and \cite{P1}. More precisely, we analyze profiles of surfaces obtained by inflating a convex polyhedron, or more ge…
The Weil-Petersson metric and the renormalized volume of hyperbolic 3-manifolds
Kirill Krasnov, Jean-Marc Schlenker
We survey the renormalized volume of hyperbolic 3-manifolds, as a tool for Teichmuller theory, using simple differential geometry arguments to recover results sometimes first achie…
Collisions of particles in locally AdS spacetimes
Thierry Barbot, Francesco Bonsante, Jean-Marc Schlenker
We investigate 3-dimensional globally hyperbolic AdS manifolds containing "particles", i.e., cone singularities along a graph . We impose physically relevant conditions on the c…
On orthogonal matrices maximizing the 1-norm
Teodor Banica, Benoit Collins, Jean-Marc Schlenker
For we have , with equality if and only if , with Hadamard matrix. Motivated by this remark, we discuss in this paper the algeb…
Representations of quantum permutation algebras
Teodor Banica, Julien Bichon, Jean-Marc Schlenker
We develop a combinatorial approach to the quantum permutation algebras, as Hopf images of representations of type . We discuss several general problems, includin…