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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