Abstract:

Abstract: Generalized holomorphic bundles are a feature of Hitchin's generalized geometry. On an ordinary complex manifold, a generalized holomorphic bundle is not necessarily a holomorphic bundle. More generally, it is a kind of Higgs bundle -- sometimes called a co-Higgs bundle. I will discuss issues regarding stability and integrability for generalized holomorphic bundles over ordinary complex surfaces. In particular, I will construct a sequence of families of stable, integrable rank-2 generalized holomorphic bundles on CP^2, using the classical Schwarzenberger construction of ordinary holomorphic bundles.