2018/02/08 by Murao, Tomo
#57M27 #FOS: Mathematics #Geometric Topology (math.GT) #Primary 57M25 #Secondary 57M15
paper · doi:10.48550/arxiv.1802.03295
We define a functor Q from the category of multiple conjugation biquandles to that of multiple conjugation quandles. We show that for any multiple conjugation biquandle X, there is a one-to-one correspondence between the set of X-colorings and that of Q(X)-colorings diagrammatically for any handlebody-link and spatial trivalent graph. In particular, we prove that the set of G-family of Alexander biquandles colorings is isomorphic to that of G-family of Alexander quandles colorings as modules.