Chern characters via connections up to homotopy
Differential Geometry
2007-05-23 v2 Algebraic Geometry
Algebraic Topology
K-Theory and Homology
Symplectic Geometry
Abstract
The aim of this note is to point out that Chern characters can be computed using curvatures o ``super-connections up to homotopy'. We also present an application to the vanishing theorem for Lie algebroids which is at the origin of new secondary classes of algebroids (Fernandes), hence, in particular, of Poisson manifolds.
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Cite
@article{arxiv.math/0009229,
title = {Chern characters via connections up to homotopy},
author = {Marius Crainic},
journal= {arXiv preprint arXiv:math/0009229},
year = {2007}
}
Comments
6 pages