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Braid groups and Hodge theory
Authors:Curtis T McMullen
Institution:1. Harvard University, Cambridge, USA
Abstract:This paper gives an account of the unitary representations of the braid group that arise via the Hodge theory of cyclic branched coverings of ${\mathbb{P}^1}$ , highlighting their connections with ergodic theory, complex reflection groups, moduli spaces of 1-forms and open problems in surface topology.
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