Moduli spaces of vector bundles over a real curve: Z/2-Betti numbers
Symplectic Geometry
2015-05-26 v2 Algebraic Geometry
Algebraic Topology
Differential Geometry
Abstract
Moduli spaces of real bundles over a real curve arise naturally as Lagrangian submanifolds of the moduli space of semi-stable bundles over a complex curve. In this paper, we adapt the methods of Atiyah-Bott's "Yang-Mills over a Riemann Surface" to compute Z/2-Betti numbers of these spaces, proving formulas recently obtained by Liu and Schaffhauser.
Cite
@article{arxiv.1207.4960,
title = {Moduli spaces of vector bundles over a real curve: Z/2-Betti numbers},
author = {Thomas Baird},
journal= {arXiv preprint arXiv:1207.4960},
year = {2015}
}
Comments
33 pages. Implemented referee suggestions and simplified exposition in the introduction. Comments welcome