Room P3.10, Mathematics Building

Sam Nelson, Claremont McKenna College
Quantum Enhancements of Biquandle Counting Invariants

Biquandles are algebraic structures related to knots. For every finite biquandle $X$ there is an integer-valued knot and link invariant called the biquandle counting invariant. An enhancement is a stronger invariant which determines but is not determined by the counting invariant. In this talk we will discuss current work on enhancements defined analogously to quantum invariants.