English

Quadric bundles and their moduli spaces

Algebraic Geometry 2016-10-19 v1

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 π1(X)\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.

Keywords

Cite

@article{arxiv.1610.05568,
  title  = {Quadric bundles and their moduli spaces},
  author = {André Oliveira},
  journal= {arXiv preprint arXiv:1610.05568},
  year   = {2016}
}

Comments

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

R2 v1 2026-06-22T16:24:07.060Z