McMullen, Curtis2012-11-162012McMullen, Curtis T. 2013. Braid groups and Hodge theory. Mathematische Annalen 355(3): 893-946.0025-58311432-1807http://nrs.harvard.edu/urn-3:HUL.InstRepos:9918804This 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.en-USJournal Article2012-11-1610.1007/s00208-012-0804-2