Moduli of bundles over rational surfaces and elliptic curves II: non-simply laced cases

For any non-simply laced Lie group $G$ and elliptic curve $\mathrm{\Sigma }$, we show that the moduli space of flat $G$ bundles over $\mathrm{\Sigma }$ can be identified with the moduli space of rational surfaces with $G$-configurations which contain $\mathrm{\Sigma }$ 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 $G$.