  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.
