Integration of simplicial forms and Deligne cohomology

Johan L. Dupont; Rune Ljungmann

doi:10.7146/math.scand.a-14961

Integration of simplicial forms and Deligne cohomology

Authors

Johan L. Dupont
Rune Ljungmann

DOI:

https://doi.org/10.7146/math.scand.a-14961

Abstract

We present two approaches to constructing an integration map along the fiber 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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Published

2005-09-01

How to Cite

Dupont, J. L., & Ljungmann, R. (2005). Integration of simplicial forms and Deligne cohomology. MATHEMATICA SCANDINAVICA, 97(1), 11–39. https://doi.org/10.7146/math.scand.a-14961