Biquandle arrow weights (Sam Nelson, CMC)

Many knot invariants are defined from features of knot projections such as arcs or crossings. Gauss diagrams provide an alternative combinatorial scheme for representing knots. In this talk we will use Gauss diagrams to enhance the biquandle counting invariant for classical and virual knots using biquandle arrow weights, a new algebraic structure without a clear geometric interpretation. This is joint work with Migiwa Sakurai (Shibaura Institute of Technology, Tokyo).