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arxiv: 1611.05171 · v1 · pith:ZK4P2AWTnew · submitted 2016-11-16 · 🧮 math.DG

An L²-isolation theorem for Yang-Mills fields on K\"{a}hler surfaces

classification 🧮 math.DG
keywords compacthlerprovesurfacesyang-millsbundlescalabi-yauconnections
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We prove an $L^{2}$ energy gap result for Yang-Mills connections on principal $G$-bundles over compact K\"{a}hler surfaces with positive scalar curvature. We prove related results for compact simply-connected Calabi-Yau $2$-folds.

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