| Full text | |
| Author(s): |
Ruffino, Fabio Ferrari
Total Authors: 1
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| Document type: | Journal article |
| Source: | JOURNAL OF HOMOTOPY AND RELATED STRUCTURES; v. 12, n. 1, p. 26-pg., 2017-03-01. |
| 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 Opportunities: | Research Grants - Young Investigators Grants |