2013/06/18 by Rosenberg, Steven
#22E65 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1306.4204
Chern-Weil and Chern-Simons theory extend to certain infinite-rank bundles that appear in mathematical physics. We discuss what is known of the invariant theory of the corresponding infinite-dimensional Lie groups. We use these techniques to detect cohomology classes for spaces of maps between manifolds and for diffeomorphism groups of manifolds.