Saved in:
Bibliographic Details
Main Authors: Sarti, Filippo, Savini, Alessio
Format: Preprint
Published: 2021
Subjects:
Online Access:https://arxiv.org/abs/2106.02411
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • 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