Biquandle Bracket Quivers

Biquandle brackets are skein invariants for biquandle-colored knots. Taken over the set of biquandle colorings of an oriented knot or link, the multiset of biquandle bracket values is an invariant from which can be recovered the biquandle counting invariant and, depending on the particular biquandle bracket, classical skein invariants as well as biquandle 2-cocycle invariants. A set of biquandle endomorphisms endows the multiset with an invariant quiver structure, proving a categorification of these invariants distinct from the Khovanov-style homological categorifications.