Mathematics > K-Theory and Homology
[Submitted on 2 Jun 2013 (v1), last revised 8 Feb 2016 (this version, v2)]
Title:Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic K-theory
View PDFAbstract: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.
Submission history
From: Ulrich Bunke [view email][v1] Sun, 2 Jun 2013 19:51:13 UTC (161 KB)
[v2] Mon, 8 Feb 2016 07:49:11 UTC (261 KB)
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