A gentle introduction to Drinfel'd associators

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 tra...

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Bibliographic Details
Main Authors: Bordemann, Martin, Rivezzi, Andrea, Weigel, Thomas
Format: Journal Article
Language:English
Published: 14-04-2023
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Summary: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.
DOI:10.48550/arxiv.2304.07012