J. Beyrer

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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.GT2024

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…

Hp,q-convex cocompactness and higher higher TeichmÃ¼ller spaces

Positive surface group representations in PO(p,q)

Degenerations of k-positive surface group representations

$H^{p, q}$ -convex cocompactness and higher higher TeichmÃ¼ller spaces