Tribracket Modules
Geometric Topology
2019-08-28 v2 Quantum Algebra
Abstract
Niebrzydowski tribrackets are ternary operations on sets satisfying conditions obtained from the oriented Reidemeister moves such that the set of tribracket colorings of an oriented knot or link diagram is an invariant of oriented knots and links. We introduce tribracket modules analogous to quandle/biquandle/rack modules and use these structures to enhance the tribracket counting invariant. We provide examples to illustrate the computation of the invariant and show that the enhancement is proper.
Keywords
Cite
@article{arxiv.1808.04421,
title = {Tribracket Modules},
author = {Deanna Needell and Sam Nelson and Yingqi Shi},
journal= {arXiv preprint arXiv:1808.04421},
year = {2019}
}
Comments
11 pages, v2 contains typo corrections and other small improvements