Secondary theories for simplicial manifolds and classifying spaces

Details Secondary theories for simplicial manifolds and classifying spaces Secondary theories for simplicial manifolds and classifying spaces

2009-03-27

arxiv.org/abs/0903.4870v1

Geom. Topol. Monogr. 11 (2007) 33-58

Mathematics

Algebraic Topology

This is the version published by Geometry & Topology Monographs on 14 November 2007

Scientific paper

10.2140/gtm.2007.11.33

We define secondary theories and characteristic classes for simplicial smooth manifolds generalizing Karoubi's multiplicative K-theory 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.

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