Abstract
For construction of invariants for families of bundles, integration along
the fiber is usually applied in order to obtain forms defined on the
parameter space. In the case of families of bundles with connection the
classical Chern-Weil theory gives rise to invariants living in smooth
Deligne cohomology, and hence a notion of integration along the fiber is
needed in this setting. We present two constructions of such a map: One
defined in the simplicial model for Deligne cohomology introduced by Dupont
and Kamber and another defined in a more combinatorial model associated to a
triangulation of the bundle.
Contact person:Jørgen Ellegaard Andersen.