Drinfeld-Kohno theorem

**Drinfel’d-Kohno theorem** is about a geometric relation between classical and quantum $R$-matrices for quantum groups: the monodromies of the solutions of Knizhnik-Zamolodchikov equations (which are equations of Fuchsian type) for a given classical $r$-matrix give rise to the corresponding quantum $R$-matrix; more precisely it gives the same representation of the braid group.

- Toshitake Kohno,
*Monodromy representations of braid groups and Yang-Baxter equations*, Annales de l’institut Fourier**37**, no. 4 (1987), p. 139-160, numdam - P. Etingof, O. Shiffman,
*Lectures on quantum groups* - P. Etingof, N. Geer,
*Monodromy of trigonometric KZ equations*, math.QA/0611003 - Valerio Toledano-Laredo,
*A Kohno-Drinfeld theorem for quantum Weyl groups*, math.QA/0009181 - Toshitake Kohno,
*Conformal field theory and topology*, transl. from the 1998 Japanese original by the author. Translations of Mathematical Monographs**210**. Iwanami Series in Modern Mathematics. Amer. Math. Soc. 2002. x+172 pp. - V. Chari, A. Pressley,
*A guide to quantum groups*, 1994 - Uli Kraehmer,
*Knizhnik-Zamolodchikov and Drinfeld-Kohno*, slides, pdf - C. Kassel,
*Quantum groups*, Springer 1995

Revised on October 13, 2011 18:36:16
by Zoran Škoda
(161.53.130.104)