2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96817In this paper, we study the monodromy of the Hitchin fibration for rank 2 vector bundles over hyperelliptic curves. We reduce the problem to studying a surface braid group generalization of the classical Burau representation, and give a combinatorial method for computing this representation.40 pages, 26 figuresGeometric TopologyRepresentation Theory14D20; 20F38text