Integration of simplicial forms and Deligne cohomology

Mathematics – Differential Geometry

Scientific paper

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28 pages, section on products added

Scientific paper

We present two approaches to constructing an integration map for smooth
Deligne cohomology. The first is defined in the simplicial model, where a class
in Deligne cohomology is represented by a simplicial form, and the second in a
related but more combinatorial model.

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