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Braid groups and Hodge theory

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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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    Curtis T. McMullen

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Research supported in part by the NSF.

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McMullen, C.T. Braid groups and Hodge theory. Math. Ann. 355, 893–946 (2013). https://doi.org/10.1007/s00208-012-0804-2

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