Monodromy of the Hitchin Map over Hyperelliptic Curves
Abstract
Description
In 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 figures
40 pages, 26 figures