Differential Characters and Geometric Chains
Differential Geometry
2013-04-10 v2
Abstract
We study Cheeger-Simons differential characters and provide geometric descriptions of the ring structure and of the fiber integration map. The uniqueness of differential cohomology (up to unique natural transformation) is proved by deriving an explicit formula for any natural transformation between a differential cohomology theory and the model given by differential characters. Fiber integration for fibers with boundary is treated in the context of relative differential characters. As applications we treat higher-dimensional holonomy, parallel transport, and transgression.
Cite
@article{arxiv.1303.6457,
title = {Differential Characters and Geometric Chains},
author = {Christian Baer and Christian Becker},
journal= {arXiv preprint arXiv:1303.6457},
year = {2013}
}
Comments
references added