Biquandle virtual brackets

01/31/2017 - 12:15pm
01/31/2017 - 1:10pm
Sam Nelson (CMC)

A biquandle bracket is a skein invariant for biquandle-colored knots and links with coefficients depending on the biquandle colors at a crossing. A biquandle virtual bracket adds a virtual crossing interpreted as a kind of smoothing, with coefficients depending of the biquandle colors at each crossing. The enhancements of the biquandle counting invariant determined by biquandle virtual brackets include classical quantum invariants and biquandle cocycle invariants as special cases.

Millikan 2099, Pomona College