An $L^{2}$-isolation theorem for Yang-Mills fields on Kähler surfaces (1611.05171v1)

Abstract: 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.