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arXiv · 1306.0247

Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic K-theory

Ulrich Bunke·David Gepner
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Abstract

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.

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BibTeXRIS

Ulrich Bunke, David Gepner. 2013-06-02. Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic K-theory. https://arxiv.org/abs/1306.0247

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