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VOL. 62 | 2012 Hyperplane arrangements, local system homology and iterated integrals

Abstract

We review some aspects of the homology of a local system on the complement of a hyperplane arrangement. We describe a relationship between linear representations of the braid groups due to R. Lawrence, D. Krammer and S. Bigelow and the holonomy representations of the KZ connection. We explain a method to describe such representations by the iterated integrals of logarithmic 1-forms.

Information

Published: 1 January 2012
First available in Project Euclid: 24 November 2018

zbMATH: 1261.20037
MathSciNet: MR2933796

Digital Object Identifier: 10.2969/aspm/06210157

Subjects:
Primary: 20F36, 33C60, 52C35

Rights: Copyright © 2012 Mathematical Society of Japan

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