An $L^{2}$-isolation theorem for Yang-Mills fields on K\"{a}hler   surfaces
  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. 
Teng Huang
math.DG