Multivariate Alexander quandles, V. Constructing the medial quandle of a link

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.

arXiv commentv1: 32 pages, 6 figures. v2: minor improvements. v3: restriction to finite number of quandle orbits removed. v4: minor improvements in Section 7. v5: 33 pages, 6 figures. Final prepublication version. Further changes may be made before publication in the Journal of Knot Theory and its Ramifications