Differential Characters, 2014
Lecture Notes in Mathematics Series, Vol. 2112

Providing a systematic introduction to differential characters as introduced by Cheeger and Simons, this text describes important concepts such as fiber integration, higher dimensional holonomy, transgression, and the product structure in a geometric manner. Differential characters form a model of what is nowadays called differential cohomology, which is the mathematical structure behind the higher gauge theories in physics.

Differential Characters and Geometric Chains.- Relative differential Cohomology.- Index.