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Secondary Theories for Simplicial Manifolds and Classifying Spaces

By Marcello Felisatti and Frank Neumann


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

Topics: multiplicative K-theory, simplicial de Rham theory, smooth simplicial manifolds, differential characters, multiplicative cohomology
Publisher: Dept. of Mathematics, University of Leicester.
Year: 2005
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