%0 Journal Article
%T Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic K-theory
%A Ulrich Bunke
%A David Gepner
%J Mathematics
%D 2013
%I arXiv
%X 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.
%U http://arxiv.org/abs/1306.0247v1