Parametrized Kähler class and Zariski dense orbital 1-cohomology
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866912411786674176 |
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| author | Sarti, Filippo Savini, Alessio |
| author_facet | Sarti, Filippo Savini, Alessio |
| 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 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_02411 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Parametrized Kähler class and Zariski dense orbital 1-cohomology Sarti, Filippo Savini, Alessio Geometric Topology 57T10, 53C35, 22E40, 22D40 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 |
| title | Parametrized Kähler class and Zariski dense orbital 1-cohomology |
| topic | Geometric Topology 57T10, 53C35, 22E40, 22D40 |
| url | https://arxiv.org/abs/2106.02411 |