Quadric bundles applied to non-maximal Higgs bundles

TitleQuadric bundles applied to non-maximal Higgs bundles
Publication TypePreprint
Year of Preprint2016
AuthorsOliveira A.

We present a survey on the moduli spaces of rank 2 quadric bundles over a compact Riemann surface X. These are objects which generalise orthogonal bundles and which naturally occur through the study of the connected components of the moduli spaces of Higgs bundles over X for the real symplectic group Sp(4,R), with non-maximal Toledo invariant. Hence they are also related with the moduli space of representations of \pi_1(X) in \Sp(4,R). We explain this motivation in some detail.


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