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arXiv · 0903.4870

Secondary theories for simplicial manifolds and classifying spaces

Marcello Felisatti·Frank Neumann
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Abstract

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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BibTeXRIS

Marcello Felisatti, Frank Neumann. 2009-03-27. Secondary theories for simplicial manifolds and classifying spaces. https://doi.org/10.2140/gtm.2007.11.33

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