Vortrag von Natalie Peternell (Freiburg)
Cocycles of characteristic classes in smooth Deligne cohomology
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When 
Feb 11, 2013 from 10:15 AM to 11:15 AM 
Where  318 
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In my talk I will start with an introduction to smooth Deligne
cohomology and then present the main results of my diploma thesis.
Let G be a compact connected Lie group with classifying space BG and
let a be an integer cohomology class of even degree p on BG. Let F be a
compact connected differentiable manifold with Gaction satisfying
further topological conditions, e.g. F is a Stiefel manifold. Suppose
that a is the image under transgression in the universal Gprincipal
bundle of a certain cohomology class on F. Given any Gprincipal bundle E
on a compact manifold M, I will explain some of the main steps how to
construct explicitly a natural class in Deligne cohomology which
represents the acharacteristic class of the bundle E.
At the end I will dicuss some examples of characteristic classes
which satisfy the assumptions made in the main theorem of my diploma
thesis.