Gambaudo--Ghys construction on bounded cohomology
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866916230811615232 |
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| author | Kimura, Mitsuaki |
| author_facet | Kimura, Mitsuaki |
| contents | We consider a generalized Gambaudo--Ghys construction on bounded cohomology and prove its injectivity. As a corollary, we prove that the third bounded cohomology of the group of area-preserving diffeomorphisms on the 2-disk is infinite-dimensional. We also prove similar results for the case of the 2-sphere, the 2-torus and the annulus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_00124 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Gambaudo--Ghys construction on bounded cohomology Kimura, Mitsuaki Geometric Topology Group Theory We consider a generalized Gambaudo--Ghys construction on bounded cohomology and prove its injectivity. As a corollary, we prove that the third bounded cohomology of the group of area-preserving diffeomorphisms on the 2-disk is infinite-dimensional. We also prove similar results for the case of the 2-sphere, the 2-torus and the annulus. |
| title | Gambaudo--Ghys construction on bounded cohomology |
| topic | Geometric Topology Group Theory |
| url | https://arxiv.org/abs/2009.00124 |