Differential Geometry Working Seminar

Paul Cusson, University of Waterloo

Vector bundles over a complex torus

We will cover basic results about the complex geometry of a complex torus X, followed by a discussion of holomorphic vector bundles over X. An immediate result due to Hodge theory is the existence of complex bundles that don't admit holomorphic structures when the complex dimension of X is at least 2. We will thus focus on bundles whose Chern classes lie in the diagonal of the Hodge diamond and ask which ones can be holomorphic.

MC 5403