Event

Talk
Gerbes, simplicial forms and Deligne cohomology
Johan Dupont (Aarhus)
7 May 2007, 15:00 – 16:00

This reports on some joint work with Franz W. Kamber. The notion of smooth Deligne cohomology is conveniently reformulated in terms of the simplicial deRham complex. In particular the usual Chern-Weil and Chern-Simons theory is well adapted to this framework and rather easily gives rise to characteristic Deligne cohomology classes associated to families of bundles and connections. The construction provides representing cocycles in the usual Cech-deRham model for smooth Deligne cohomology called "gerbes with connection" as they generalize usual Hermitian line bundles with connection. Another application is an extension of the notion of linear equivalence of divisors on a Riemann surface to cycles in a Riemannian manifold.

Related to:

• Johan Dupont