Secondary Theories for Simplicial Manifolds and Classifying Spaces
2009-02-26T13:34:39Z (GMT) by
Abstract. 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.