Quadric bundles and their moduli spaces

André Oliveira

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arXiv · 1610.05568

Quadric bundles and their moduli spaces

André Oliveira

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Abstract

Quadric bundles on a compact Riemann surface X 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 then survey deeper results in the rank 2 case.

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André Oliveira. 2016-10-18. Quadric bundles and their moduli spaces. https://arxiv.org/abs/1610.05568

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