Relative differential cohomology and generalized Cheeger-Simons characters
arXiv:1811.07035
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.
57 pages, accepted for publication on Communications in Analysis and Geometry