|Title||Quadric bundles and their moduli spaces|
|Year of Preprint||2016|
We consider quadric bundles on a compact Riemann surface X. These generalise orthogonal bundles and arise naturally in the study of the moduli space of representations of \pi_1(X) in Sp(2n,R). We prove some basic results on the moduli spaces of quadric bundles over X of arbitrary rank and survey deeper results about these moduli spaces, for rank 2.