Quasimorphisms of free products of racks and quandles
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914135998988288 |
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| author | Aoki, Masamitsu |
| author_facet | Aoki, Masamitsu |
| contents | We show that the second bounded cohomology of the free product of racks and quandles is infinite-dimensional as a real vector space. This is similar to the case of groups. As a corollary, we show that the second bounded cohomology of the free rack and the free quandle is infinite-dimensional. We also give another proof of this corollary using homogeneous group quasimorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14752 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasimorphisms of free products of racks and quandles Aoki, Masamitsu Group Theory We show that the second bounded cohomology of the free product of racks and quandles is infinite-dimensional as a real vector space. This is similar to the case of groups. As a corollary, we show that the second bounded cohomology of the free rack and the free quandle is infinite-dimensional. We also give another proof of this corollary using homogeneous group quasimorphisms. |
| title | Quasimorphisms of free products of racks and quandles |
| topic | Group Theory |
| url | https://arxiv.org/abs/2404.14752 |