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We construct triples of commuting real structures on the moduli space ofHiggs 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 anddescribe the topological invariants involved using KO, KR and equivariantK-theory.

Real structures on moduli spaces of Higgs bundles