Braid groups and Hodge theory | Zendy

Curtis T. McMullen | Zendy

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Braid groups and Hodge theory

Author(s) -

Curtis T. McMullen

Publication year - 2012

Publication title -

mathematische annalen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.235

H-Index - 75

eISSN - 1432-1807

pISSN - 0025-5831

DOI - 10.1007/s00208-012-0804-2

Subject(s) - mathematics , braid group , braid , braid theory , pure mathematics , unitary state , moduli space , hodge theory , group (periodic table) , topology (electrical circuits) , algebra over a field , combinatorics , cohomology , chemistry , materials science , organic chemistry , political science , law , composite material

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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