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arXiv · 1003.2033

A topological interpretation of the KZ system

Eduard Looijenga
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Abstract

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.

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Eduard Looijenga. 2011-01-11. A topological interpretation of the KZ system. https://arxiv.org/abs/1003.2033

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