Corpus ID: 235458067

Compactness for $\Omega$-Yang-Mills connections

  title={Compactness for \$\Omega\$-Yang-Mills connections},
  author={Xuemiao Chen and R. Wentworth},
On a Riemannian manifold of dimension n we extend the known analytic results on Yang-Mills connections to the class of connections called Ω-Yang-Mills connections, where Ω is a smooth, not necessarily closed, (n − 4)-form on M . Special cases include Ω-anti-selfdual connections and Hermitian-Yang-Mills connections over general complex manifolds. By a key observation, a weak compactness result is obtained for moduli space of smooth Ω-YangMills connections with uniformly L bounded curvature, and… Expand


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