Advances in Theoretical and Mathematical Physics
Volume 20 (2016)
Real structures on moduli spaces of Higgs bundles
Pages: 525 – 551
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.