85 citations · 227 across the 13 of their papers we have counts for
16 papers
Limit cones of multi-Fuchsian representations
Jeffrey Danciger, François Guéritaud, Fanny Kassel
We study the set of normalized multi-lengths for representations of closed surface groups and free groups into whose projections to $\mathrm{PSL}_2\m…
Combination theorems in convex projective geometry
Jeffrey Danciger, François Guéritaud, Fanny Kassel
We prove a general combination theorem for discrete subgroups of preserving properly convex open subsets in the projective space $\mathbb{P}(\mathbb{R}…
Convex cocompactness for Coxeter groups
Jeffrey Danciger, François Guéritaud, Fanny Kassel +2
We investigate representations of Coxeter groups into as geometric reflection groups which are convex cocompact in the projective space $\mathbb{P}(\mat…
Proper affine actions for right-angled Coxeter groups
Jeffrey Danciger, François Guéritaud, Fanny Kassel
For any right-angled Coxeter group on generators, we construct proper actions of on by right and left multiplication, and on the Lie algebra $\mathf…
Convex cocompact actions in real projective geometry
Jeffrey Danciger, François Guéritaud, Fanny Kassel
We study a notion of convex cocompactness for discrete subgroups of the projective general linear group acting (not necessarily irreducibly) on real projective space, and give vari…
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…
Tameness of Riemannian locally symmetric spaces arising from Anosov representations
Olivier Guichard, Fanny Kassel, Anna Wienhard
We construct compactifications of Riemannian locally symmetric spaces arising as quotients by Anosov representations. These compactifications are modeled on generalized Satake comp…
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…
Compact anti-de Sitter 3-manifolds and folded hyperbolic structures on surfaces
François Guéritaud, Fanny Kassel, Maxime Wolff
We prove that any nonabelian, non-Fuchsian representation of a surface group into PSL(2,R) is the holonomy of a folded hyperbolic structure on the surface. Using similar ideas, we…
Maximally stretched laminations on geometrically finite hyperbolic manifolds
François Guéritaud, Fanny Kassel
Let Gamma_0 be a discrete group. For a pair (j,rho) of representations of Gamma_0 into PO(n,1)=Isom(H^n) with j geometrically finite, we study the set of (j,rho)-equivariant Lipsch…
Geometry and topology of complete Lorentz spacetimes of constant curvature
Jeffrey Danciger, François Guéritaud, Fanny Kassel
We study proper, isometric actions of nonsolvable discrete groups Gamma on the 3-dimensional Minkowski space R^{2,1} as limits of actions on the 3-dimensional anti-de Sitter space…
Some open questions on anti-de Sitter geometry
Thierry Barbot, Francesco Bonsante, Jeffrey Danciger +6
We present a list of open questions on various aspects of AdS geometry, that is, the geometry of Lorentz spaces of constant curvature -1. When possible we point out relations with…
Proper actions on corank-one reductive homogeneous spaces
Fanny Kassel
Let k be a local field and G the set of k-points of a connected semisimple algebraic k-group of rank one. We describe all torsion-free discrete subgroups of G\times G acting proper…