Quadric bundles and their moduli spaces

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.

Partially based on the talk given at the Workshop NS@50: Fifty Years of the Narasimhan-Seshadri Theorem, held at the Chennai Mathematical Institute (India), in 5-9 October 2015

References in corpus (1)

• The Hitchin-Kobayashi correspondence, Higgs pairs and surface group representations