On the geometry and bounded cohomology of racks and quandles
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910482444582912 |
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| author | Kędra, Jarek |
| author_facet | Kędra, Jarek |
| contents | We introduce and investigate a natural family of metrics on connected components of a rack. The metrics are closely related to certain bi-invariant metrics on the group of inner automorphisms of the rack. We also introduce a bounded cohomology of racks and quandles, relate them to the above metrics and prove a certain vanishing result for racks and quandles with amenable group of inner automorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_02760 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the geometry and bounded cohomology of racks and quandles Kędra, Jarek Group Theory Quantum Algebra We introduce and investigate a natural family of metrics on connected components of a rack. The metrics are closely related to certain bi-invariant metrics on the group of inner automorphisms of the rack. We also introduce a bounded cohomology of racks and quandles, relate them to the above metrics and prove a certain vanishing result for racks and quandles with amenable group of inner automorphisms. |
| title | On the geometry and bounded cohomology of racks and quandles |
| topic | Group Theory Quantum Algebra |
| url | https://arxiv.org/abs/2302.02760 |