The Chern Character in the Simplicial de Rham Complex

Abstract

On the basis of Dupont's work, we exhibit a cocycle in the simplicial de Rham complex which represents the Chern character. We also prove the related conjecture due to Brylinski. This gives a way to construct a cocycle in a local truncated complex.

15 pages

Cited by in corpus (2)

• The Euler class in the Simplicial de Rham Complex
• On some Chern-Simons forms of the Bott-Shulman-Stasheff forms