The Chern Character in the Simplicial de Rham Complex
classification
🧮 math.DG
keywords
complexcharactercherncocyclerhamsimplicialbasisbrylinski
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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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