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

2015/06/03 by Ana Peón-Nieto, Peón-Nieto, Ana
Mathematics · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.1506.01318

24 pages

arxiv created 2015/06/03 · arxiv updated 2015/06/04

Abstract

We study the cameral and spectral data for the moduli space of polystable 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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