39 citations · 47 across the 11 of their papers we have counts for
12 papers
Lorentz--Epstein surfaces and a Liouville action for positive curves
François Labourie, Jérémy Toulisse, Yilin Wang
We investigate and define in this paper, in the context of the correspondence between anti-de Sitter -space and -conformal metrics, the analogs of $\cW$-volume, Epstein s…
Higgs bundle, isomonodromic leaves and minimal surfaces
Brian Collier, Jérémy Toulisse, Richard Wentworth
In this paper we give a gauge theoretic construction of the joint moduli space of stable G-Higgs bundles on closed Riemann surfaces, where the Riemann surface structure is allowed…
Minimal surfaces with negative curvature in large dimensional spheres
Michele Ancona, François Labourie, Anna Roig-Sanchis +1
In this note, we answer positively a question of Yau by proving the existence of closed minimal surfaces with negative induced curvature in any sphere of large dimension. The proof…
On complete maximal submanifolds in pseudo-hyperbolic space
Andrea Seppi, Graham Smith, Jérémy Toulisse
We provide a full classification of complete maximal -dimensional spacelike submanifolds in the pseudo-hyperbolic space , and we study its applications to Teic…
Holomorphic curves in the 6-pseudosphere and cyclic surfaces
Brian Collier, Jérémy Toulisse
The space of vectors of norm -1 in has a natural pseudo-Riemannian metric and a compatible almost complex structure. The group of automorphism…
Quasicircles and quasiperiodic surfaces in pseudo-hyperbolic spaces
François Labourie, Jérémy Toulisse
We study in this paper quasiperiodic maximal surfaces in pseudo-hyperbolic spaces and show that they are characterised by a curvature condition, Gromov hyperbolicity or conformal h…
Plateau Problems for Maximal Surfaces in Pseudo-Hyperbolic Spaces
François Labourie, Jérémy Toulisse, Michael Wolf
We define and prove the existence of unique solutions of an asymptotic Plateau problem for spacelike maximal surfaces in the pseudo-hyperbolic space of signature (2, n): the bounda…
Compact connected components in relative character varieties of punctured spheres
Nicolas Tholozan, Jérémy Toulisse
We prove that some relative character varieties of the fundamental group of a punctured sphere into the Hermitian Lie groups admit compact connected components.…
Higgs bundles, pseudo-hyperbolic geometry and maximal representations
Jeremy Toulisse
These notes are an extended version of a talk given by the author in the seminar "Theorie Spectrale et Geometrie" at the Institut Fourier in No- vember 2016. We present here some a…
The geometry of maximal representations of surface groups into SO(2,n)
Brian Collier, Nicolas Tholozan, Jérémy Toulisse
In this paper, we study the geometric and dynamical properties of maximal representations of surface groups into Hermitian Lie groups of rank 2. Combining tools from Higgs bundle t…
Minimal diffeomorphism between hyperbolic surfaces with cone singularities
Jérémy Toulisse
We prove the existence of a minimal diffeomorphism isotopic to the identity between two hyperbolic cone surfaces and when the cone angles of and are…
Maximal surfaces in anti-de Sitter 3-manifolds with particles
Jérémy Toulisse
We prove the existence of a unique maximal surface in each anti-de Sitter (AdS) convex Globally Hyperbolic Maximal (GHM) manifold with particles (that is, with conical singularitie…