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Organizers |
Biquandle Virtual Brackets
by
Sam Nelson
Claremont McKenna College
Coauthors: Kanako Oshiro (Sophia University), Ayaka Shimizu (Gunma National College of Technology) and Yoshiro Yaguchi (Gunma National College of Technology)
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.
Date received: September 15, 2016
Copyright © 2016 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbnq-06.