14 citations · 44 across the 7 of their papers we have counts for
11 papers
Positivity, cross-ratios and the Collar Lemma
Jonas Beyrer, Olivier Guichard, François Labourie +2
We prove that -positive representations of fundamental groups of surfaces (possibly cusped or of infinite type) satisfy a collar lemma, and their associated cross-ratios are pos…
-convex cocompactness and higher higher Teichmüller spaces
Jonas Beyrer, Fanny Kassel
For any integers and , let be the pseudo-Riemannian hyperbolic space of signature . We prove that if is the fundamental group of a…
Positive surface group representations in PO(p,q)
Jonas Beyrer, Beatrice Pozzetti
We show that -positive Anosov representations of a surface group satisfy root versus weight collar lemmas for all the Anosov roots, and are positively…
Degenerations of k-positive surface group representations
Jonas Beyrer, Beatrice Pozzetti
We introduce \emph{k-positive representations}, a large class of --Anosov surface group representations into PGL(E) that share many features with Hitchin representa…
A collar lemma for partially hyperconvex surface group representations
Jonas Beyrer, Beatrice Pozzetti
We show that a collar lemma holds for Anosov representations of fundamental groups of surfaces into $\SL(n,\R)$ that satisfy partial hyperconvexity properties inspired from Labouri…
Cross ratios on cube complexes and marked length-spectrum rigidity
Jonas Beyrer, Elia Fioravanti
We show that group actions on irreducible cube complexes with no free faces are uniquely determined by their length function. Actions are allowed to be non-…
Cross ratios and cubulations of hyperbolic groups
Jonas Beyrer, Elia Fioravanti
Many geometric structures associated to surface groups can be encoded in terms of invariant cross ratios on their circle at infinity; examples include points of Teichmüller space,…
cube complexes are determined by their boundary cross ratio
Jonas Beyrer, Elia Fioravanti, Merlin Incerti-Medici
We introduce a -valued cross ratio on Roller boundaries of cube complexes. We motivate its relevance by showing that every cross-ratio preserving bijecti…
Cross ratios on boundaries of symmetric spaces and Euclidean buildings
Jonas Beyrer
We generalize the natural cross ratio on the ideal boundary of a rank one symmetric spaces, or even space, to higher rank symmetric spaces and (non-locally compa…
A complete description of the antipodal set of most symmetric spaces of compact type
Jonas Beyrer
It is known that the antipodal set of a Riemannian symmetric space of compact type consists of a union of -orbits. We determine the dimensions of these -orbits of mos…
Trees and ultrametric Möbius structures
Jonas Beyrer, Viktor Schroeder
We define the concept of an ultrametric Möbius space and use this to characterize nonelementary geodesically complete trees.