%0 Journal Article %T On the topology of holomorphic bundles %A Elizabeth Gasparim %J Mathematics %D 1997 %I arXiv %X 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. %U http://arxiv.org/abs/alg-geom/9703031v1