The Chern Character in the Simplicial de Rham Complex
Differential Geometry
2015-02-10 v9
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.
Keywords
Cite
@article{arxiv.1306.5949,
title = {The Chern Character in the Simplicial de Rham Complex},
author = {Naoya Suzuki},
journal= {arXiv preprint arXiv:1306.5949},
year = {2015}
}
Comments
15 pages