Moduli of Bundles over Rational Surfaces and Elliptic Curves II: Nonsimply Laced Cases
Naichung Conan Leung, J. Zhang · International Mathematics Research Notices · 2009
For any non-simply laced Lie group G and elliptic curve Σ, we show that the moduli space of flat G bundles over Σ can be identified with the moduli space of rational surfaces with G-configurations which contain Σ as an anti-canonical curve. We also construct Lie(G)-bundles over these surfaces. The corresponding results for simply laced groups were obtained by the authors in another paper. Thus we have established a natural identification for these two kinds of moduli spaces for any Lie group G.