1. CJM Online first
|Moduli Spaces of Vector Bundles over a Real Curve: $\mathbb Z/2$-Betti Numbers|
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 $\mathbb Z/2$-Betti numbers of these spaces.
Keywords:cohomology of moduli spaces, holomorphic vector bundles
2. CJM 2006 (vol 58 pp. 262)
|Connections on a Parabolic Principal Bundle Over a Curve |
The aim here is to define connections on a parabolic principal bundle. Some applications are given.
Keywords:parabolic bundle, holomorphic connection, unitary connection
Categories:53C07, 32L05, 14F05