Biquandle Power Brackets
Geometric Topology
2024-01-23 v1 Quantum Algebra
Abstract
In this paper, we introduce biquandle power brackets, an infinite family of invariants of oriented links containing the classical skein invariants and the quandle and biquandle 2-cocycle invariants as special cases. Biquandle power brackets are generalizations of biquandle brackets in which the values of Kauffman states also depend on the biquandle colors they admit. We provide example computations and discuss the relationship between these new invariants and the previous cases.
Keywords
Cite
@article{arxiv.2401.11956,
title = {Biquandle Power Brackets},
author = {Neslihan Gügümcü and Sam Nelson},
journal= {arXiv preprint arXiv:2401.11956},
year = {2024}
}
Comments
14 pages