Relative differential cohomology
- We study two notions of relative differential cohomology, using the model of differential characters. The two notions arise from the two options to construct relative homology, either by cycles of a quotient complex or of a mapping cone complex. We discuss the relation of the two notions of relative differential cohomology to each other. We discuss long exact sequences for both notions, thereby clarifying their relation to absolute differential cohomology. We construct the external and internal product of relative and absolute characters and show that relative differential cohomology is a right module over the absolute differential cohomology ring. Finally we construct fiber integration and transgression for relative differential characters.
Author details: | Christian BeckerORCiDGND |
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DOI: | https://doi.org/10.1007/978-3-319-07034-6_2 |
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: | 91 |
Last Page: | 180 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Peer review: | Referiert |