On the topology of holomorphic bundles

Abstract

In this work we study the topology of holomorphic rank two bundles over complex surfaces. We consider bundles that are constructed by glueing and show that under certain conditions the topology of the bundle does not depend on the glueing. We present a simple classification of bundles on blown-up surfaces.

Cited by in corpus (3)

• Two applications of instanton numbers
• Atiyah Jones conjecture for blown-up surfaces
• Chern Classes of Bundles over Rational Surfaces