85 citations · 331 across the 16 of their papers we have counts for
19 papers
Convex cocompactness in pseudo-Riemannian hyperbolic spaces
Jeffrey Danciger, François Guéritaud, Fanny Kassel
Anosov representations of word hyperbolic groups into higher-rank semisimple Lie groups are representations with finite kernel and discrete image that have strong analogies with co…
Veering triangulations and Cannon-Thurston maps
François Guéritaud
Any hyperbolic surface bundle over the circle gives rise to a continuous surjection from the circle to the sphere, by work of Cannon and Thurston. We prove that the order in which…
Compactification of certain Clifford-Klein forms of reductive homogeneous spaces
François Guéritaud, Olivier Guichard, Fanny Kassel +1
We describe smooth compactifications of certain families of reductive homogeneous spaces such as group manifolds for classical Lie groups, or pseudo-Riemannian analogues of real hy…
Anosov representations and proper actions
François Guéritaud, Olivier Guichard, Fanny Kassel +1
We establish several characterizations of Anosov representations of word hyperbolic groups into real reductive Lie groups, in terms of a Cartan projection or Lyapunov projection of…
Fundamental domains for free groups acting on anti-de Sitter 3-space
Jeffrey Danciger, François Guéritaud, Fanny Kassel
Crooked planes are piecewise linear surfaces that were introduced by Drumm in the early 1990s to construct fundamental domains for properly discontinuous actions of free groups on…
Margulis spacetimes via the arc complex
Jeffrey Danciger, François Guéritaud, Fanny Kassel
We study strip deformations of convex cocompact hyperbolic surfaces, defined by inserting hyperbolic strips along a collection of disjoint geodesic arcs properly embedded in the su…