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

preprint2016arXivOpen access

We prove an $L^{2}$ energy gap result for Yang-Mills connections on principal $G$ -bundles over compact Kähler surfaces with positive scalar curvature. We prove related results for compact simply-connected Calabi-Yau $2$ -folds.

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

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