Acta Mathematica Vietnamica
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Local Systems on Configuration Spaces, KZ Connections and Conformal Blocks
Toshitake Kohno
Abstract
We describe a relationship between homological representations of the braid groups due to R. Lawrence, D. Krammer, and S. Bigelow and the monodromy representations of the Knizhnik-Zamolodchikov (KZ) connection. First, we describe the comparison theorem in the case of generic parameters. Then, we discuss the nongeneric case from the viewpoint of conformal field theory.