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Braid Groups and Hodge theory

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2012

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McMullen, Curtis T. 2013. Braid groups and Hodge theory. Mathematische Annalen 355(3): 893-946.

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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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Braid Groups and Hodge theory… : DASH Story 2014-02-13
sometimes, it is difficult to access the paper published in Math Annalen since some of the palaces I visit do not have Springer subscription. It is most useful to have this open access to be able to access papers like this beautiful and highly useful paper. Thak you, open access!