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MaPhySto
The Danish National Research Foundation:
Network in Mathematical Physics and Stochastics



Funded by The Danish National Research Foundation
Geometric Mathematical Physics Seminar
Wednesday, 10 March 2004, at 16:15 in D3
Rune Ljungmann, University of Aarhus
Integration of simplicial forms and Deligne cohomology

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.