Algebraic Structure and Integration in Generalized Differential Cohomology
von Markus Upmeier
Datum der mündl. Prüfung:2013-09-30
Erschienen:2014-01-22
Betreuer:Prof. Dr. Thomas Schick
Gutachter:Prof. Dr. Thomas Schick
Gutachter:Prof. Dr. Ralf Meyer
Dateien
Name:dissertation.pdf
Size:1.34Mb
Format:PDF
Zusammenfassung
Englisch
The present thesis deals with the construction of algebraic structure, particularly products, on generalized differential cohomology from an abstract homotopy-theoretic point of view. Beginning with a multiplicative cohomology theory E, we show that the corresponding differential cohomology groups E are multiplicative in a suitable sense. Explicit integration maps and a cocycle model for the addition are also constructed.
Keywords: Cohomology Theory; Differential Cohomology; Generalized Cohomology; Higher Category Theory; Chern Character; Differential Topology