Differential Function Spectra, the Differential Becker-Gottlieb Transfer, and Applications to Differential Algebraic K-Theory
Author | : Ulrich Bunke |
Publisher | : American Mathematical Soc. |
Total Pages | : 177 |
Release | : 2021-06-21 |
ISBN-10 | : 9781470446857 |
ISBN-13 | : 1470446855 |
Rating | : 4/5 (57 Downloads) |
Download or read book Differential Function Spectra, the Differential Becker-Gottlieb Transfer, and Applications to Differential Algebraic K-Theory written by Ulrich Bunke and published by American Mathematical Soc.. This book was released on 2021-06-21 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.