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

Georgios Daskalopoulos, Stamatis Dostoglou, Richard Wentworth

math.DGarXiv:math/9810034

Abstract

A gauge theoretic description of the Morgan-Shalen compactification of the 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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