English

A gentle introduction to Drinfel'd associators

Quantum Algebra 2025-01-10 v2

Abstract

In this note we give an introduction to Drinfel'd's associator coming from the Knizhnik-Zamolodchikov connections and a self-contained proof of the hexagon and pentagon equations by means of minimal amounts of analysis or differential geometry: we rather use limits of concrete parallel transports.

Cite

@article{arxiv.2304.07012,
  title  = {A gentle introduction to Drinfel'd associators},
  author = {Martin Bordemann and Andrea Rivezzi and Thomas Weigel},
  journal= {arXiv preprint arXiv:2304.07012},
  year   = {2025}
}
R2 v1 2026-06-28T10:05:48.951Z