39 citations · 78 across the 18 of their papers we have counts for
19 papers
Compact quotients of homogeneous spaces and homotopy theory of sphere bundles
Fanny Kassel, Yosuke Morita, Nicolas Tholozan
A reductive homogeneous space is always diffeomorphic to the normal bundle of an orbit of a maximal compact subgroup of . We prove that if admits compact quotients,…
Positive representations over real closed fields
Xenia Flamm, Nicolas Tholozan, Tianqi Wang +1
We develop the theory of -positive representations from general Fuchsian groups to linear groups over real closed fields. Our definition, which does not assume the boundary map…
Sharpness of proper and cocompact actions on reductive homogeneous spaces
Fanny Kassel, Nicolas Tholozan
We prove that if is any noncompact connected real reductive linear Lie group, and any discrete subgroup of acting properly discontinuously and cocompactly on some homog…
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…
Chern-Simons theory and cohomological invariants of representation varieties
Nicolas Tholozan
We prove a general local rigidity theorem for pull-backs of homogeneous forms on reductive symmetric spaces under representations of discrete groups. One application of the theorem…
Simple Anosov representations of closed surface groups
Nicolas Tholozan, Tianqi Wang
We introduce and study \emph{simple Anosov representations} of closed hyperbolic surface groups, analogous to Minsky's \emph{primitive stable representations} of free groups. We pr…
Fiber bundles associated with Anosov representations
Daniele Alessandrini, Sara Maloni, Nicolas Tholozan +1
Anosov representations of a hyperbolic group into a semisimple Lie group are known to admit cocompact domains of discontinuity in flag varieties , endowing the com…
Residually finite non linear hyperbolic groups
Nicolas Tholozan, Konstantinos Tsouvalas
We exhibit the first examples of residually finite non-linear Gromov hyperbolic groups. Our examples are constructed as amalgamated products of torsion-free cocompact lattices in t…
Linearity and indiscreteness of amalgamated products of hyperbolic groups
Nicolas Tholozan, Konstantinos Tsouvalas
We discuss the linearity and discreteness of amalgamated products of linear word-hyperbolic groups. In particular, we prove that the double of an Anosov group along a maximal cycli…
Equidistribution of Hodge loci II
Salim Tayou, Nicolas Tholozan
Let be a polarized variation of Hodge structure over a smooth complex quasi-projective variety . In this paper, we give a complete description of the typical Hodge l…
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…
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.…
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…
Super-maximal representations from fundamental groups of punctured surfaces to
Bertrand Deroin, Nicolas Tholozan
We study a particular class of representations from the fundamental groups of punctured spheres to the group (and their moduli spaces), that we…
Volume and non-existence of compact Clifford-Klein forms
Nicolas Tholozan
This article studies the volume of compact quotients of reductive homogeneous spaces. Let be a reductive homogeneous space and a discrete subgroup of acting properly…
The Volume of complete anti-de Sitter 3-manifolds
Nicolas Tholozan
Up to a finite cover, closed anti-de Sitter -manifolds are quotients of by a discrete subgroup of of the form…
Entropy of Hilbert metrics and length spectrum of Hitchin representations in
Nicolas Tholozan
We prove a sharp inequality between the Blaschke and Hilbert distance on a proper convex domain: for any two points and , \[d^B(x,y) < d^H(x,y) +1.\] We obtain two interesti…
Dominating surface group representations and deforming closed AdS 3-manifolds
Nicolas Tholozan
In a previous paper by Deroin-Tholozan, the authors construct a map from the Teichmüller space of to itself and prove that, when has sectional curvature $\leq…
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…