Document Type
Article - post-print
Publication Date
2014
Abstract
If A is an abelian quandle and Q is a quandle, the hom set Hom(Q,A) of quandle homomorphisms from Q to A has a natural quandle structure. We exploit this fact to enhance the quandle counting invariant, providing an example of links with the same counting invariant values but distinguished by the hom quandle structure. We generalize the result to the case of biquandles, collect observations and results about abelian quandles and the hom quandle, and show that the category of abelian quandles is symmetric monoidal closed.
Original Publication Citation
Crans, A. and Nelson, S. “Hom Quandles.” Journal of Knot Theory and its Ramifications. Vol. 23 (2014), No. 2.
Digital Commons @ LMU & LLS Citation
Crans, Alissa S. and Nelson, Sam, "Hom Quandles" (2014). Mathematics, Statistics and Data Science Faculty Works. 66.
https://digitalcommons.lmu.edu/math_fac/66
Comments
This article is the post-print version.