2019/11/24 by Lorenzo Traldi, Traldi, Lorenzo
Mathematics · #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1911.10587
Joyce observed that the Alexander invariant and the medial quandle of a classical knot are equivalent to each other, as invariants. In the present paper, we discuss the rather complicated extension of Joyce's observation to several different medial quandles and reduced (one-variable) Alexander modules associated with classical links. The theme is that for links, medial quandles provide stronger invariants than reduced Alexander modules.