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arxiv: math/0402059 · v2 · submitted 2004-02-04 · 🧮 math.DG

Integration of simplicial forms and Deligne cohomology

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keywords cohomologydelignesimplicialintegrationmodelapproachesclasscombinatorial
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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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