Differential Characters
Christian Bär, Christian Becker
Springer, Berlin Heidelberg 2014
ISBN 978-3-319-07033-9
Webpage at Springer
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Book description:
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.