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

Abstract

We study the cameral and spectral data for the moduli space of polystable $\mathrm{SU}(p+1,p)$-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.

arXiv comment24 pages

References in corpus (4)

• Mirror symmetry, Langlands duality, and the Hitchin system
• Spectral data for G-Higgs bundles
• Spectral data for U(m,m)-Higgs bundles
• Higgs bundles over elliptic curves

Cited by in corpus (6)

• Cayley and Langlands type correspondences for orthogonal Higgs bundles
• Singular Geometry and Higgs Bundles in String Theory
• Lectures on Higgs moduli and abelianisation
• Orthogonal Higgs bundles with singular spectral curves
• Higgs bundles, abelian gerbes and cameral data
• Spectral Data for SU(1,2) Higgs Bundles