Abstract
In this paper we give explicit formulas for differential characteristic classes of principal G-bundles with connections and prove their expected properties. In particular, we obtain explicit formulas for differential Chern classes, differential Pontryagin classes and the differential Euler class. Furthermore, we show that the differential Chern class is the unique natural transformation from (Simons-Sullivan) differential K-theory to (Cheeger-Simons) differential characters that is compatible with curvature and characteristic class. We also give the explicit formula for the differential Chern class on Freed-Lott differential K-theory. Finally, we discuss the odd differential Chern classes.
Original language | English |
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Pages (from-to) | 30-47 |
Number of pages | 18 |
Journal | Journal of the Australian Mathematical Society |
Volume | 99 |
Issue number | 1 |
Early online date | 4 Dec 2014 |
DOIs | |
Publication status | Published - Aug 2015 |
Scopus Subject Areas
- Mathematics(all)
User-Defined Keywords
- characteristic classes
- differential characters
- differential K-theory