MA-05-04.pdf (251.52 kB)
Secondary Theories for Simplicial Manifolds and Classifying Spaces
report
posted on 2009-02-26, 13:34 authored by Marcello Felisatti, Frank NeumannAbstract. We define secondary theories and characteristic classes for simplicial smooth manifolds generalizing Karoubi’s multiplicative Ktheory and multiplicative cohomology groups for smooth manifolds. As a special case we get versions of the groups of differential characters of Cheeger and Simons for simplicial smooth manifolds. Special examples include classifying spaces of Lie groups and Lie groupoids.