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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Flat pairing and generalized Cheeger-Simons characters

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Author(s):
Ruffino, Fabio Ferrari
Total Authors: 1
Document type: Journal article
Source: Journal of Homotopy and Related Structures; v. 12, n. 1, p. 143-168, MAR 2017.
Web of Science Citations: 1
Abstract

Let h(center dot) be a multiplicative cohomology theory, h(center dot) its dual homology theory and (h) over cap (center dot) a differential refinement. We first construct the natural pairing between h(center dot) and the flat part of (h) over cap (center dot), 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. (AU)

FAPESP's process: 14/03721-3 - Differential homology and cohomology, gerbes and applications
Grantee:Fabio Ferrari Ruffino
Support type: Research Grants - Young Investigators Grants