under construction
Ordinary Chern-Weil theory provides for a Lie group and for any connection on a smooth -principal bundle a morphism of dg-algebras
where is the dg-algebra of invariant polynomials on the Lie algebra of : the image of a given invariant polynomial is the corresponding curvature? characteristic class of the bundle.
More generally, in a smooth (∞,1)-topos we have the notion of Ehresmann ∞-connection on a -principal ∞-bundle. For 0-truncated this comes with a morphism
from the invariant polynomial on the ∞-Lie algebroid of .
Created on February 22, 2010 at 17:26:25. See the history of this page for a list of all contributions to it.