Bounded cohomology of measure-preserving homeomorphism groups of non-orientable surfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913872227598336 |
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| author | Brandenbursky, Michael Menashe, Lior |
| author_facet | Brandenbursky, Michael Menashe, Lior |
| contents | Let $N_g$ be a closed non-orientable surface of genus $g\geq 3$. Let $\operatorname{Homeo}_0(N_g,μ)$ be the identity component of the group of measure-preserving homeomorphisms of $N_g$. In this work we prove that the third bounded cohomology of $\operatorname{Homeo}_0(N_g,μ)$ is infinite dimensional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02728 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounded cohomology of measure-preserving homeomorphism groups of non-orientable surfaces Brandenbursky, Michael Menashe, Lior Geometric Topology Group Theory Let $N_g$ be a closed non-orientable surface of genus $g\geq 3$. Let $\operatorname{Homeo}_0(N_g,μ)$ be the identity component of the group of measure-preserving homeomorphisms of $N_g$. In this work we prove that the third bounded cohomology of $\operatorname{Homeo}_0(N_g,μ)$ is infinite dimensional. |
| title | Bounded cohomology of measure-preserving homeomorphism groups of non-orientable surfaces |
| topic | Geometric Topology Group Theory |
| url | https://arxiv.org/abs/2506.02728 |