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arXiv · 2408.11784

Multivariate Alexander quandles, VI. Metabelian groups and 2-component links

Lorenzo Traldi
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Abstract

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 $L$.

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Lorenzo Traldi. 2024-08-21. Multivariate Alexander quandles, VI. Metabelian groups and 2-component links. https://arxiv.org/abs/2408.11784

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