Set Theoretic Yang-Baxter Solutions via Fox Calculus
Geometric Topology
2007-05-23 v1 Quantum Algebra
Abstract
We construct solutions to the set-theoretic Yang-Baxter equation using braid group representations in free group automorphisms and their Fox differentials. The method resembles the extensions of groups and quandles.
Keywords
Cite
@article{arxiv.math/0503166,
title = {Set Theoretic Yang-Baxter Solutions via Fox Calculus},
author = {J. Scott Carter and Masahico Saito},
journal= {arXiv preprint arXiv:math/0503166},
year = {2007}
}
Comments
Dedicated to Professor Louis H. Kauffman for his 60th birthday