Cameral data for SU(p+1,p)-Higgs bundles

preprint2015arXivOpen access

Abstract

We study the cameral and spectral data for the moduli space of polystable SU(p+1,p)\mathrm{SU}(p+1,p)-Higgs bundles and deduce the latter from the former. As an application, we obtain that the Toledo invariant classifies the connected components of the regular fibers of the Hitchin map.

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