39 citations · 78 across the 18 of their papers we have counts for
4 papers · 1 filter
Gromov-Thurston manifolds and anti-de Sitter geometry
Daniel Monclair, Jean-Marc Schlenker, Nicolas Tholozan
We consider hyperbolic and anti-de Sitter (AdS) structures on , where is a -dimensional Gromov-Thurston manifold. If has cone angles greater than , we…
Hausdorff dimension of limit sets for projective Anosov representations
Olivier Glorieux, Daniel Monclair, Nicolas Tholozan
We study the relation between critical exponents and Hausdorff dimensions of limit sets for projective Anosov representations. We prove that the Hausdorff dimension of the symmetri…
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…
Dominating surface group representations by Fuchsian ones
Bertrand Deroin, Nicolas Tholozan
We prove that a representation from the fundamental group of a closed surface of negative Euler characteristic with values in the isometry group of a Riemannian manifold of section…