Critical regularity of one-manifold actions by right-angled Artin groups and mapping class groups

Abstract: For each finite index subgroup \(H\) of the mapping class group of a closed hyperbolic surface, and for each real number \(r>1\) we prove that there does not exist a faithful \(C^r\)-action (in Hölder's sense) of \(H\) on a circle. For this, we determine the allowed regularities of faithful actions by many right-angled Artin groups on a circle. (Joint with Thomas Koberda and Cristobal Rivas)

algebraic topologyfunctional analysisgroup theorygeometric topologyoperator algebras

Audience: researchers in the topic

Vienna Geometry and Analysis on Groups Seminar