Corpus ID: 119688027

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

@article{Bunke2013DifferentialFS,
  title={Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic K-theory},
  author={U. Bunke and David Gepner},
  journal={arXiv: K-Theory and Homology},
  year={2013}
}
  • U. Bunke, David Gepner
  • Published 2013
  • Mathematics
  • arXiv: K-Theory and Homology
  • 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… CONTINUE READING
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