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A geometric approach to orthogonal Higgs bundles
classification
🧮 math.AG
math-phmath.DGmath.MP
keywords
bundleshiggsorthogonalgeometricapproachassociatedcharacterisationcorrespondence
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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.
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