Topology Seminar: Sam Nelson (CMC)

Title: Biquandle Brackets and Knotoids

Abstract: Biquandle brackets are a type of quantum enhancement of the  biquandle counting invariant for oriented knots and links, defined by a set of skein relations with coefficients which are functions of biquandle colors at a crossing. In this talk we use biquandle brackets to enhance the biquandle counting matrix invariant of knotoids. This is joint work with Neslihan Gugumcu (Izmir Institute of Technology, Izmir, Turkey) and Natsumi Oyamaguchi (Shumei University, Tokyo, Japan).