Parametrized K\"{a}hler class and Zariski dense orbital 1-cohomology

Filippo Sarti; Alessio Savini

doi:10.4310/mrl.2023.v30.n6.a9

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arXiv · 2106.02411

Parametrized K\"{a}hler class and Zariski dense orbital 1-cohomology

Filippo Sarti·Alessio Savini

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Abstract

Let $\Gamma$ be a finitely generated group and let $(X,\mu_X)$ be an ergodic standard Borel probability $\Gamma$-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 $\sigma:\Gamma \times X \rightarrow G$, we define the notion of parametrized K\"{a}hler class and we show that it completely determines the cocycle up to cohomology.x

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Filippo Sarti, Alessio Savini. 2021-06-04. Parametrized K\"{a}hler class and Zariski dense orbital 1-cohomology. https://doi.org/10.4310/mrl.2023.v30.n6.a9

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