Braid groups and Hodge theory |
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Authors: | Curtis T. McMullen |
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Affiliation: | 1. Harvard University, Cambridge, USA
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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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