A geometric approach to orthogonal Higgs bundles
arXiv:1608.00300 · doi:10.1007/s40879-017-0206-9
Abstract
We give a geometric characterisation of the topological invariants associated to SO(m,m+1)-Higgs bundles through KO-theory and the Langlands correspondence between orthogonal and symplectic Hitchin systems. By defining the split orthogonal spectral data, we obtain a natural grading of the moduli space of SO(m,m+1)-Higgs bundles.
12 pages, comments welcomed!