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 prove that the set of simple Anosov representations into $\mathrm{SL}(d,\mathbb{C})$ with $d \geqslant 4$ strictly contains the set of Anosov representations. As a consequence, we construct domains of discontinuity for the mapping class group action on character varieties which contain non-discrete representations
Consider a volume preserving Anosov $C^\infty$ action $\alpha$ on a compact manifold $X$ by semisimp...
Consider a volume preserving Anosov $C^\infty$ action $\alpha$ on a compact manifold $X$ by semisimp...
In this thesis, we construct special deformations for Anosov representations, so-called cataclysms, ...
Construímos dominios abiertos de discontinuidad para representaciones de Anosov actuando sobre algun...
We study the antipodal subsets of the full flag manifolds $\mathcal{F}(\mathbb{R}^d)$. As a conseque...
Abstract. We survey recent work on the dynamics of the outer auto-morphism group Out(Γ) of a word hy...
Anosov representations were introduced by Labourie for fundamental groups of closed negatively curve...
Abstract. We survey recent work on the dynamics of the outer auto-morphism group Out(Γ) of a word hy...
International audienceLet $\Gamma$ be a surface group of higher genus. Let $\rho_0: \Gamma \rightarr...
Anosov representations were introduced by Labourie for fundamental groups of closed negatively curve...
We provide characterizations of Anosov representations of word hyperbolic groups into real semisimpl...
An infinite discrete subgroup of a Lie group acts on its homogeneous spaces. If the action is proper...
We characterize groups admitting Anosov representations into SL(3,R), projective Anosov representati...
Given a finitely generated group $\Gamma$, a directed graph $\Lambda$, and a map $R:\Lambda\to\Gamma...
Abstract. We define new topological invariants for Anosov represen-tations and study them in detail ...
Consider a volume preserving Anosov $C^\infty$ action $\alpha$ on a compact manifold $X$ by semisimp...
Consider a volume preserving Anosov $C^\infty$ action $\alpha$ on a compact manifold $X$ by semisimp...
In this thesis, we construct special deformations for Anosov representations, so-called cataclysms, ...
Construímos dominios abiertos de discontinuidad para representaciones de Anosov actuando sobre algun...
We study the antipodal subsets of the full flag manifolds $\mathcal{F}(\mathbb{R}^d)$. As a conseque...
Abstract. We survey recent work on the dynamics of the outer auto-morphism group Out(Γ) of a word hy...
Anosov representations were introduced by Labourie for fundamental groups of closed negatively curve...
Abstract. We survey recent work on the dynamics of the outer auto-morphism group Out(Γ) of a word hy...
International audienceLet $\Gamma$ be a surface group of higher genus. Let $\rho_0: \Gamma \rightarr...
Anosov representations were introduced by Labourie for fundamental groups of closed negatively curve...
We provide characterizations of Anosov representations of word hyperbolic groups into real semisimpl...
An infinite discrete subgroup of a Lie group acts on its homogeneous spaces. If the action is proper...
We characterize groups admitting Anosov representations into SL(3,R), projective Anosov representati...
Given a finitely generated group $\Gamma$, a directed graph $\Lambda$, and a map $R:\Lambda\to\Gamma...
Abstract. We define new topological invariants for Anosov represen-tations and study them in detail ...
Consider a volume preserving Anosov $C^\infty$ action $\alpha$ on a compact manifold $X$ by semisimp...
Consider a volume preserving Anosov $C^\infty$ action $\alpha$ on a compact manifold $X$ by semisimp...
In this thesis, we construct special deformations for Anosov representations, so-called cataclysms, ...