Displaying similar documents to “Hermitian-Einstein Connections and Stable Vector Bundles Over Compact Complex Surfaces.”

Stable bundles on hypercomplex surfaces

Ruxandra Moraru, Misha Verbitsky (2010)

Open Mathematics


A hypercomplex manifold is a manifold equipped with three complex structures I, J, K satisfying the quaternionic relations. Let M be a 4-dimensional compact smooth manifold equipped with a hypercomplex structure, and E be a vector bundle on M. We show that the moduli space of anti-self-dual connections on E is also hypercomplex, and admits a strong HKT metric. We also study manifolds with (4,4)-supersymmetry, that is, Riemannian manifolds equipped with a pair of strong HKT-structures...