The pentagon equation and the confluence relations
Quantum Algebra
2022-02-21 v2 Number Theory
Abstract
We show an equivalence of Drinfeld's pentagon equation and Hirose-Sato's confluence relations. As a corollary, we obtain a pentagon-free presentation of the Grothendieck-Teichm\"{u}ller group and associators.
Cite
@article{arxiv.1809.00789,
title = {The pentagon equation and the confluence relations},
author = {Hidekazu Furusho},
journal= {arXiv preprint arXiv:1809.00789},
year = {2022}
}
Comments
17 pages