English

The moduli space of stable vector bundles over a real algebraic curve

Algebraic Geometry 2009-04-03 v2

Abstract

We study the spaces of stable real and quaternionic vector bundles on a real algebraic curve. The basic relationship is established with unitary representations of an extension Z/2 by the fundamental group. By comparison with the space of real or quaternionic connections, some of the basic topological invariants of these spaces are calculated.

Keywords

Cite

@article{arxiv.0901.3071,
  title  = {The moduli space of stable vector bundles over a real algebraic curve},
  author = {Indranil Biswas and Johannes Huisman and Jacques C. Hurtubise},
  journal= {arXiv preprint arXiv:0901.3071},
  year   = {2009}
}

Comments

28 pages; revised version; minor corrections