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

Naichung Conan Leung; Jiajin Zhang

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arXiv · 0908.1645

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

Naichung Conan Leung·Jiajin Zhang

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Abstract

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 $G$.

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Naichung Conan Leung, Jiajin Zhang. 2009-08-12. Moduli of bundles over rational surfaces and elliptic curves II: non-simply laced cases. https://arxiv.org/abs/0908.1645

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