# Braid Groups and Hodge theory

 Title: Braid Groups and Hodge theory Author: McMullen, Curtis T. Citation: McMullen, Curtis T. 2013. Braid groups and Hodge theory. Mathematische Annalen 355(3): 893-946. Full Text & Related Files: braid_groups.pdf (464.6Kb; PDF) 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. Published Version: doi:10.1007/s00208-012-0804-2 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:9918804 Downloads of this work: