A geometric approach to orthogonal Higgs bundles

Laura P. Schaposnik

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A geometric approach to orthogonal Higgs bundles

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arxiv 1608.00300 v1 pith:7X75VBQ5 submitted 2016-08-01 math.AG math-phmath.DGmath.MP

A geometric approach to orthogonal Higgs bundles

Laura P. Schaposnik This is my paper

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.

A geometric approach to orthogonal Higgs bundles

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