33 citations · 194 across the 19 of their papers we have counts for
6 papers · 1 filter
Topological group cohomology of Lie groups and Chern-Weil theory for compact symmetric spaces
Christoph Wockel
In this paper we analyse the topological group cohomology of finite-dimensional Lie groups. We introduce a technique for computing it (as abelian groups) for torus coefficients by…
A Cocycle Model for Topological and Lie Group Cohomology
Friedrich Wagemann, Christoph Wockel
We propose a unified framework in which the different constructions of cohomology groups for topological and Lie groups can all be treated on equal footings. In particular, we show…
Topological Group Cohomology with Loop Contractible Coefficients
Martin Fuchssteiner, Christoph Wockel
We show that for topological groups and loop contractible coefficients the cohomology groups of continuous group cochains and of group cochains that are continuous on some identity…
Making Lifting Obstructions Explicit
Karl-Hermann Neeb, Friedrich Wagemann, Christoph Wockel
If P \to X is a topological principal K-bundle and \hat K a central extension of K by Z, then there is a natural obstruction class δ_1(P) in \check H^2(X,\uline Z) in sheaf cohomol…
A Smooth Model for the String Group
Thomas Nikolaus, Christoph Sachse, Christoph Wockel
We construct a model for the string group as an infinite-dimensional Lie group. In a second step we extend this model by a contractible Lie group to a Lie 2-group model. To this en…
The Samelson Product and Rational Homotopy for Gauge Groups
Christoph Wockel
This paper is on the connecting homomorphism in the long exact homotopy sequence of the evaluation fibration , where is the gauge g…