Real structures on moduli spaces of Higgs bundles

Abstract

We construct triples of commuting real structures on the moduli space of Higgs bundles, whose fixed loci are branes of type (B, A, A), (A, B, A) and (A, A, B). We study the real points through the associated spectral data and describe the topological invariants involved using KO, KR and equivariant K-theory.

19 pages

Cited by in corpus (13)

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• Branes on the singular locus of the Hitchin system via Borel and other parabolic subgroups
• Moduli spaces of generalized hyperpolygons
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• A geometric approach to orthogonal Higgs bundles
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