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Rational Solution of the KZ equation (example)

Andrey Tydnyuk

math.CAarXiv:math/0612153

Abstract

We investigate the Knizhnik-Zamolodchikov linear differential system. The coefficients of this system are rational functions. We prove that the solution of the KZ system is rational when k is equal to two and n is equal to three. While doing so, we found the coefficients of expansion in a neighborhood of a singular point.

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