Multivariate Alexander quandles, VI. Metabelian groups and 2-component links
Geometric Topology
2025-11-24 v2
Abstract
We prove two properties of the modules and quandles discussed in this series. First, the fundamental multivariate Alexander quandle is isomorphic to the natural image of the fundamental quandle in the metabelian quotient of the link group. Second, the medial quandle of a classical 2-component link is determined by the reduced Alexander invariant of .
Keywords
Cite
@article{arxiv.2408.11784,
title = {Multivariate Alexander quandles, VI. Metabelian groups and 2-component links},
author = {Lorenzo Traldi},
journal= {arXiv preprint arXiv:2408.11784},
year = {2025}
}
Comments
v1: 11 pages, one figure. v2: minor edits