Cohomology of some configuration spaces and associated bundles

We will discuss some recent work with F. Cohen on the cohomology of configuration space bundles. These are bundles associated to vector bundles but with a fibre over a point being the space of k distinct points in that fibre. The calculation of their cohomology mimics the Euclidean space case but there are some surprises especially in the equivariant structure given by the natural symmetric group actions. (PDF file)