Multivariate Alexander quandles, VI. Metabelian groups and 2-component links
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866918212790124544 |
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| author | Traldi, Lorenzo |
| author_facet | Traldi, Lorenzo |
| contents | We prove two properties of the modules and quandles discussed in this series. First, the fundamental multivariate Alexander quandle $Q_A(L)$ is isomorphic to the natural image of the fundamental quandle in the metabelian quotient $G(L)/G(L)''$ of the link group. Second, the medial quandle of a classical 2-component link $L$ is determined by the reduced Alexander invariant of $L$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11784 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multivariate Alexander quandles, VI. Metabelian groups and 2-component links Traldi, Lorenzo Geometric Topology We prove two properties of the modules and quandles discussed in this series. First, the fundamental multivariate Alexander quandle $Q_A(L)$ is isomorphic to the natural image of the fundamental quandle in the metabelian quotient $G(L)/G(L)''$ of the link group. Second, the medial quandle of a classical 2-component link $L$ is determined by the reduced Alexander invariant of $L$. |
| title | Multivariate Alexander quandles, VI. Metabelian groups and 2-component links |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2408.11784 |