39 citations · 78 across the 18 of their papers we have counts for
10 papers · 1 filter
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…
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…
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.…
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…
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…