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arXiv:0903.4870 [math.AT]AbstractReferencesReviewsResources

Secondary theories for simplicial manifolds and classifying spaces

Marcello Felisatti, Frank Neumann

Published 2009-03-27Version 1

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.

Comments: This is the version published by Geometry & Topology Monographs on 14 November 2007
Journal: Geom. Topol. Monogr. 11 (2007) 33-58
Categories: math.AT
Subjects: 55N15, 57R19, 57R20, 22A22, 55R40, 58A12
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