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About Differential Function Spectra, the Differential Becker-gottlieb Transfer, and Applications to Differential Algebraic K-theory
We develop differential algebraic K-theory for rings of integers in number fields and we construct a cycle map from geometrized bundles of modules over such a ring to the differential algebraic K-theory. We also treat some of the foundational aspects of differential cohomology, including differential function spectra and the differential Becker-Gottlieb transfer. We then state a transfer index conjecture about the equality of the Becker-Gottlieb transfer and the analytic transfer defined by Lott. In support of this conjecture, we derive some non-trivial consequences which are provable by independent means.
Detailed Information
| Author: | Ulrich Bunke, David Gepner |
|---|---|
| Publication Year: | 2021 |
| ISBN: | 9781470446857 |
| Pages: | 190 |
| Language: | English |
| File Size: | 1.659 |
| Format: | |
| Price: | FREE |
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