Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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F. Sarti - A. Savini

Parametrized Kähler class and Zariski dense Eilenberg-MacLane cohomology

created by sarti on 29 Jun 2021
modified on 24 May 2023


Accepted Paper

Inserted: 29 jun 2021
Last Updated: 24 may 2023

Journal: to appear in Math. Res. Lett.
Year: 2023

ArXiv: 2106.02411 PDF


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.

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