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The Chern Character in the Simplicial de Rham Complex

Published 25 Jun 2013 in math.DG | (1306.5949v15)

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.

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