%0 Journal Article
%T Quotient Quandles and the Fundamental Latin Alexander Quandle
%A Sam Nelson
%A Sherilyn Tamagawa
%J Mathematics
%D 2014
%I arXiv
%X Defined by Joyce and Matveev, the fundamental quandle is a complete invariant of oriented classical knots. We consider invariants of knots defined from quotients of the fundamental quandle. In particular, we introduce the fundamental Latin Alexander quandle of a knot and consider its Gr\"obner basis-valued invariants, which generalize the Alexander polynomial. We show via example that the invariant is not determined by the generalized Alexander polynomial for virtual knots.
%U http://arxiv.org/abs/1404.6008v1