Drinfel’d-Kohno theorem is about a geometric relation between classical and quantum -matrices for quantum groups: the monodromies of the solutions of Knizhnik-Zamolodchikov equations (which are equations of Fuchsian type) for a given classical -matrix give rise to the corresponding quantum -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
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