Relative differential cohomology and generalized Cheeger-Simons characters
Algebraic Topology
2018-11-22 v1 Differential Geometry
K-Theory and Homology
Abstract
We provide a suitable axiomatic framework for differential cohomology in the relative case and we deduce the corresponding long exact sequences. We also construct the relative version of the generalized Cheeger-Simons characters and we define the integration map when the fibre has a boundary.
Keywords
Cite
@article{arxiv.1811.07035,
title = {Relative differential cohomology and generalized Cheeger-Simons characters},
author = {Fabio Ferrari Ruffino and Juan Carlos Rocha Barriga},
journal= {arXiv preprint arXiv:1811.07035},
year = {2018}
}
Comments
57 pages, accepted for publication on Communications in Analysis and Geometry