Quantum Enhancements via Tribracket Brackets
Geometric Topology
2023-11-21 v3 Quantum Algebra
Abstract
We enhance the tribracket counting invariant with \textit{tribracket brackets}, skein invariants of tribracket-colored oriented knots and links analogously to biquandle brackets. This infinite family of invariants includes the classical quantum invariants and tribracket cocycle invariants as special cases, as well as new invariants. We provide explicit examples as well as questions for future work.
Keywords
Cite
@article{arxiv.1907.03011,
title = {Quantum Enhancements via Tribracket Brackets},
author = {Laira Aggarwal and Sam Nelson and Patricia Rivera},
journal= {arXiv preprint arXiv:1907.03011},
year = {2023}
}
Comments
12 pages. Version 3 includes typo corrections in the axioms (thanks to Yuya Nishimura) and removal of an incorrect example (due to the aformentioned typo in the axioms) as well as a few minor typo corrections