Braid groups and Hodge theory

By Curtis T. McMullen. 2013

92 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d879fdef4109d6c576afcd8375d88ac3011a369e

Citations in the corpus

• Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at $$t=-1$$t=-1 (2012, unknown): “, the work of A’Campo [2], Arnol’d [3], Band–Boyland [5], Funar–Kohno [18], Gambaudo–Ghys [19], Hain [20], Khovanov–Seidel [25], Magnus–Peluso [27], McMullen [31], Morifuji [33], Venkataramana [41], and Yu [43].”