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arXiv · 1208.1288

Flat pairing and generalized Cheeger-Simons characters

Fabio Ferrari Ruffino
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Abstract

Let h^{*} be a multiplicative cohomology theory, h_{*} its dual homology theory and \hat{h}^{*} a differential refinement. We first construct the natural pairing between h_{*} and the flat part of \hat{h}^{*}, generalizing the holonomy of a flat Deligne cohomology class. Then, in order to generalize the holonomy of any Deligne cohomology class, we define the generalized Cheeger-Simons characters. The latter are functions from suitably defined differential cycles to the cohomology ring of the point, such that the value on a trivial cycle only depends on the curvature.

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Fabio Ferrari Ruffino. 2012-08-06. Flat pairing and generalized Cheeger-Simons characters. https://arxiv.org/abs/1208.1288

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