The moduli space of flat G-bundles on a compact hyper-Kahler manifold
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🧮 math.DG
math.SG
keywords
compacthyper-kahlerconnectedflatg-bundlesmanifoldmetricmoduli
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We prove that if G is a compact connected Lie group and X is a compact connected hyper-Kahler manifold, then the L^2 metric on (the smooth locus of) the moduli space of flat G-bundles on X is a hyper-Kahler metric.
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