The Chern Character in the Simplicial de Rham Complex

2013/06/25 by Naoya Suzuki, Suzuki, Naoya
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1306.5949

15 pages

arxiv created 2015/02/09 · arxiv updated 2015/02/10

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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