%0 Journal Article
%T A topological interpretation of the KZ system
%A Eduard Looijenga
%J Mathematics
%D 2010
%I arXiv
%X We show that the KZ system has a purely topological interpretation in the sense that it may be understood as a variation of complex mixed Hodge structure whose successive pure weight quotients are polarized. This in a sense completes and elucidates work of Schechtman-Varchenko done in the early 1990's. A central ingredient is a new realization of the irreducible highest weight representations of a Lie algebra of Kac-Moody type, namely on an algebra of rational polydifferentials on a countable product of Riemann spheres.
%U http://arxiv.org/abs/1003.2033v6