English

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 QA(L)Q_A(L) is isomorphic to the natural image of the fundamental quandle in the metabelian quotient G(L)/G(L)G(L)/G(L)'' of the link group. Second, the medial quandle of a classical 2-component link LL is determined by the reduced Alexander invariant of LL.

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

R2 v1 2026-06-28T18:19:46.288Z