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arXiv · 1306.5949

The Chern Character in the Simplicial de Rham Complex

Naoya Suzuki
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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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Naoya Suzuki. 2013-06-25. The Chern Character in the Simplicial de Rham Complex. https://arxiv.org/abs/1306.5949

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