TY  - JOUR
A1  - Bär, Christian
A1  - Becker, Christian
T1  - Differential characters and geometric chains
T2  - Lecture notes in mathematics : a collection of informal reports and seminars
T2  - Lecture Notes in Mathematics
N2  - 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.
Y1  - 2014
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/38167
SN  - 978-3-319-07034-6; 978-3-319-07033-9
SN  - 0075-8434
VL  - 2112
SP  - 1
EP  - 90
PB  - Springer
CY  - Berlin
ER  -