Monodromy of the Hitchin Map over Hyperelliptic Curves

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dc.creatorCopeland, D. Jeremy
dc.date2004-12-14
dc.date.accessioned2026-07-07T06:25:23Z
dc.date.available2026-07-07T06:25:23Z
dc.descriptionIn 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.
dc.description40 pages, 26 figures
dc.identifierhttps://arxiv.org/abs/math/0412265
dc.identifierhttp://arxiv.org/abs/math/0412265
dc.identifierIMRN 29 (2005), 1743-1785
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96817
dc.subjectGeometric Topology
dc.subjectRepresentation Theory
dc.subject14D20; 20F38
dc.titleMonodromy of the Hitchin Map over Hyperelliptic Curves
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