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arXiv · 2106.02411

Parametrized Kähler class and Zariski dense orbital 1-cohomology

Filippo Sarti·Alessio Savini
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Abstract

Let $Γ$ be a finitely generated group and let $(X,μ_X)$ be an ergodic standard Borel probability $Γ$-space. Suppose that $G$ is the connected component of the identity of the isometry group of a Hermitian symmetric space. Given a Zariski dense measurable cocycle $σ:Γ\times X \rightarrow G$, we define the notion of parametrized Kähler class and we show that it completely determines the cocycle up to cohomology.x

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Filippo Sarti, Alessio Savini. 2025-06-04. Parametrized Kähler class and Zariski dense orbital 1-cohomology. https://doi.org/10.4310/mrl.2023.v30.n6.a9

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