J. Beyrer

activity

20152024

most citedCross ratios and cubulations of hyperbolic groups

14 citations · 44 across the 7 of their papers we have counts for

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6 papers · 1 filter

math.GT2023

$H^{p, q}$ -convex cocompactness and higher higher Teichmüller spaces

Jonas Beyrer, Fanny Kassel

For any integers $p \geq 2$ and $q \geq 1$ , let $H^{p, q}$ be the pseudo-Riemannian hyperbolic space of signature $(p, q)$ . We prove that if $Γ$ is the fundamental group of a…

math.GT2021★ 7 cited

Positive surface group representations in PO(p,q)

Jonas Beyrer, Beatrice Pozzetti

We show that $Θ$ -positive Anosov representations $ρ : Γ \to PO (p, q)$ of a surface group $Γ$ satisfy root versus weight collar lemmas for all the Anosov roots, and are positively…

math.GT2021★ 1 cited

Degenerations of k-positive surface group representations

Jonas Beyrer, Beatrice Pozzetti

We introduce \emph{k-positive representations}, a large class of ${1, \dots, k}$ --Anosov surface group representations into PGL(E) that share many features with Hitchin representa…

math.GT2019★ 11 cited

Cross ratios on $CAT (0)$ cube complexes and marked length-spectrum rigidity

Jonas Beyrer, Elia Fioravanti

We show that group actions on irreducible $CAT (0)$ cube complexes with no free faces are uniquely determined by their $ℓ^{1}$ length function. Actions are allowed to be non-…

math.GT2018★ 14 cited

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,…

math.GT2018★ 10 cited

$CAT (0)$ cube complexes are determined by their boundary cross ratio

Jonas Beyrer, Elia Fioravanti, Merlin Incerti-Medici

We introduce a $Z$ -valued cross ratio on Roller boundaries of $CAT (0)$ cube complexes. We motivate its relevance by showing that every cross-ratio preserving bijecti…