"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"--.
ISBN: | 9781470446857 |
Publication date: | 30th July 2021 |
Author: | Ulrich Bunke, David Gepner |
Publisher: | American Mathematical Society |
Format: | Paperback |
Series: | Memoirs of the American Mathematical Society |
Genres: |
Geometry Topology |