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Higgs bundles, the Toledo invariant and the Cayley correspondence

Higgs bundles, the Toledo invariant and the Cayley correspondence

Motivated by the study of the topology of the character variety for a non-compact Lie group of Hermitian type G, we undertake a uniform approach, independent of classification theory of Lie groups, to the study of the moduli space of G-Higgs bundles over a compact Riemann surface. We give an …