Author

Maximiliano Escayola

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Preprint Sep 2026

Finitely generated groups of diffeomorphisms with prescribed critical regularity in every dimension

Let $n\ge 2$, and let $M$ be either the $n$-dimensional sphere $\mathbb{S}^n$ or the real projective space $\mathbb{RP}^n$. Given $\alpha\ge 1$, we construct a finitely generated group $G_{n,\alpha}$ that embeds into the group of $C^\alpha$-diffeomorphisms of $M$, but does not embed into the group of $C^\beta$-diffeomo...

Maximiliano Escayola, Carl-Fredrik Nyberg-Brodda · 0 citations

Preprint Aug 2026

Hyperbolicity and obstructions to PL actions of the circle

We investigate acylindrically hyperbolic groups acting on the circle by piecewise linear homeomorphisms. We prove that a finitely generated acylindrically hyperbolic group acting faithfully by piecewise linear homeomorphisms of the circle is virtually free, is virtually a closed hyperbolic surface group, or virtually s...

Leonardo Dinamarca, Maximiliano Escayola, Sang-hyun Kim et al. · 1 citation