Higher cohomology triples and holomorphic extensions

Abstract

We introduce equations for special metrics, and notions of stability for some new types of augmented holomorphic bundles. These new examples include holomorphic extensions, and in this case we prove a Hitchin-Kobayashi correspondence between a certain deformation of the Hermitian-Einstein equations and our definition of stability for an extension.Comment: contact authors at [email protected] or [email protected], AMSTeX v2.