On the Morgan-Shalen compactification of the SL(2,C) character varieties of surface groups

Mathematics – Differential Geometry

Scientific paper

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17 pages. Latex. 4 figures

Scientific paper

A gauge theoretic description of the Morgan-Shalen compactification of the
$\SL$ character variety of the fundamental group of a hyperbolic surface is
given in terms of a natural compactification of the moduli space of Higgs
bundles via the Hitchin map.

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