Orthogonal Higgs bundles with singular spectral curves

Abstract

We examine Higgs bundles for non-compact real forms of SO(4,C) and the isogenous complex group SL(2,C)XSL(2,C). This involves a study of non-regular fibers in the corresponding Hitchin fibrations and provides interesting examples of non-abelian spectral data.

v3. Minor typos corrected and a dedication added. To appear in CAG in a special volume in honor of Karen Uhlenbeck's 75th birthday

References in corpus (5)

• Spectral data for G-Higgs bundles
• Cayley and Langlands type correspondences for orthogonal Higgs bundles
• Higgs bundles, Lagrangians and mirror symmetry
• Cameral data for SU(p+1,p)-Higgs bundles
• Mirror symmetry for Nahm branes

Cited by in corpus (2)

• Branes on the singular locus of the Hitchin system via Borel and other parabolic subgroups
• Semi-abelian spectral data for singular fibres of the $\mathsf{SL}(2,\mathbb{C})$-Hitchin system