Integration of simplicial forms and Deligne cohomology

• Autores: J. Dupont, R. Ljungmann
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 97, Nº 1, 2005, págs. 11-39
• Idioma: inglés
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• Resumen

  • 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 .