Flat pairing and generalized Cheeger-Simons characters

Autor(es)

Ruffino, Fabio Ferrari

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF HOMOTOPY AND RELATED STRUCTURES; v. 12, n. 1, p. 26-pg., 2017-03-01.

Resumo

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)

• Processo FAPESP: 14/03721-3 - Homologia e cohomologia diferencial, gerbes e aplicações
• Beneficiário: Fabio Ferrari Ruffino
• Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores