Biquandle Brackets and Knotoids
Geometric Topology
2019-09-04 v1 Quantum Algebra
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 paper we use biquandle brackets to enhance the biquandle counting matrix invariant defined by the first two authors in arXiv:1803.11308. We provide examples to illustrate the method of calcuation and to show that the new invariants are stronger than the previous ones.
Keywords
Cite
@article{arxiv.1909.00262,
title = {Biquandle Brackets and Knotoids},
author = {Neslihan Gügümcü and Sam Nelson and Natsumi Oyamaguchi},
journal= {arXiv preprint arXiv:1909.00262},
year = {2019}
}
Comments
10 pages