Spectral data for G-Higgs bundles

Laura P. Schaposnik

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Spectral data for G-Higgs bundles

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arxiv 1301.1981 v1 pith:7ZLM7LJ7 submitted 2013-01-09 math.DG math-phmath.AGmath.MP

Spectral data for G-Higgs bundles

Laura P. Schaposnik This is my paper

classification math.DG math-phmath.AGmath.MP

keywords bundlesdataformg-higgsrealspectralapplicationscase

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We develop a new geometric method of understanding principal G-Higgs bundles through their spectral data, for G a real form of a complex Lie group. In particular, we consider the case of G a split real form, as well as G = SL(2,R), U(p,p), SU(p,p), and Sp(2p,2p). Further, we give some applications of our results, and discuss open questions.

Spectral data for G-Higgs bundles

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