Monodromy Representations of Mixed Braid Groups
Geometric Topology
2026-04-02 v1 Representation Theory
Abstract
We explicitly describe unitary representations of mixed braid groups on the cohomology of Abelian branched covers of . We show that the image of the representation is generated by complex reflections and relate it to the multivariate Burau representation.
Keywords
Cite
@article{arxiv.2604.00146,
title = {Monodromy Representations of Mixed Braid Groups},
author = {Chitrabhanu Chaudhuri and Saswati Mukherjee},
journal= {arXiv preprint arXiv:2604.00146},
year = {2026}
}
Comments
28 pages, 4 figures