Multivariate Alexander quandles, V. Constructing the medial quandle of a link
Lorenzo Traldi
TL;DR
This paper presents a method to construct the medial quandle of a link using the peripheral structure of its reduced Alexander module, applicable to both classical and virtual links.
Contribution
It introduces a novel construction technique for medial quandles based on the Alexander module's peripheral structure, expanding understanding of link invariants.
Findings
Medial quandle construction from Alexander module is feasible for classical and virtual links.
The method provides a new algebraic approach to link invariants.
Enhances the toolkit for studying link structures through algebraic invariants.
Abstract
We explain how the medial quandle of a classical or virtual link can be built from the peripheral structure of the reduced Alexander module.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Geometric and Algebraic Topology · Mathematical Dynamics and Fractals