Monodromy of the Hitchin Map over Hyperelliptic Curves

Details Monodromy of the Hitchin Map over Hyperelliptic Curves Monodromy of the Hitchin Map over Hyperelliptic Curves

2004-12-14

arxiv.org/abs/math/0412265v1

IMRN 29 (2005), 1743-1785

Mathematics

Geometric Topology

40 pages, 26 figures

Scientific paper

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.

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