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arXiv · 1608.00423

Quadric bundles applied to non-maximal Higgs bundles

André Oliveira
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Abstract

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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André Oliveira. 2016-08-01. Quadric bundles applied to non-maximal Higgs bundles. https://arxiv.org/abs/1608.00423

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