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For any non-simply laced Lie group $G$ and elliptic curve $\Sigma$, we showthat the moduli space of flat $G$ bundles over $\Sigma$ can be identified withthe moduli space of rational surfaces with $G$-configurations which contain$\Sigma$ as an anti-canonical curve. We also construct $Lie(G)$-bundles overthese surfaces. The corresponding results for simply laced groups were obtainedby the authors in another paper. Thus we have established a naturalidentification for these two kinds of moduli spaces for any Lie group $G$.

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