Quadric bundles and their moduli spaces

TitleQuadric bundles and their moduli spaces
Publication TypePreprint
Year of Preprint2016
AuthorsOliveira A.

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.


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