J. Beyrer

collaborators

4 papers

math.GT2025

$H^{p, q}$ -convex cocompactness and higher higher TeichmÃ¼ller 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 $I^$ is the fundamental group of a…

math.GT2024

Positive surface group representations in PO(p,q)

Jonas Beyrer, Beatrice Pozzetti

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

math.DG2024

Positivity, cross-ratios and the Collar Lemma

Jonas Beyrer, Olivier Guichard, FranÃ§ois Labourie +2

We prove that $I^$ -positive representations of fundamental groups of surfaces (possibly cusped or of infinite type) satisfy a collar lemma, and their associated cross-ratios are po…