On Yang-Mills connections on compact K\"{a}hler surfaces

Teng Huang

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arXiv · 2001.09922

On Yang-Mills connections on compact K\"{a}hler surfaces

Teng Huang

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Abstract

We extend an $L^{2}$-energy gap of Yang-Mills connections on principal $G$-bundles $P$ over a compact Riemannian manfold with a $good$ Riemannian metric to the case of a compact K\"{a}hler surface with a $generic$ K\"{a}hler metric $g$, which guarantees that all ASD connections on the principal bundle $P$ over $X$ are irreducible.

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Teng Huang. 2020-01-08. On Yang-Mills connections on compact K\"{a}hler surfaces. https://arxiv.org/abs/2001.09922

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