Differential characters and geometric chains
- 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.
| Author details: | Christian BärORCiDGND, Christian BeckerORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1007/978-3-319-07034-6_1 |
| ISBN: | 978-3-319-07034-6; 978-3-319-07033-9 |
| ISSN: | 0075-8434 |
| Title of parent work (English): | Lecture notes in mathematics : a collection of informal reports and seminars |
| Title of parent work (English): | Lecture Notes in Mathematics |
| Publisher: | Springer |
| Place of publishing: | Berlin |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2014 |
| Publication year: | 2014 |
| Release date: | 2017/03/27 |
| Volume: | 2112 |
| Number of pages: | 90 |
| First page: | 1 |
| Last Page: | 90 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
