登入選單
返回Google圖書搜尋
Differential Function Spectra, the Differential Becker-Gottlieb Transfer, and Applications to Differential Algebraic K-Theory
Ulrich BunkeDavid Gepner
出版American Mathematical Soc., 2021-06-21
主題Education / General
ISBN14704468559781470446857
URLhttp://books.google.com.hk/books?id=IVw0EAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.