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arXiv · 1303.6457

Differential Characters and Geometric Chains

Christian Baer·Christian Becker
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Abstract

We study Cheeger-Simons differential characters and provide geometric descriptions of the ring structure and of the fiber integration map. The uniqueness of differential cohomology (up to unique natural transformation) is proved by deriving an explicit formula for any natural transformation between a differential cohomology theory and the model given by differential characters. Fiber integration for fibers with boundary is treated in the context of relative differential characters. As applications we treat higher-dimensional holonomy, parallel transport, and transgression.

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Christian Baer, Christian Becker. 2013-04-09. Differential Characters and Geometric Chains. https://arxiv.org/abs/1303.6457

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