Equivariant Differential Cohomology
Differential Geometry
2015-11-11 v2 Algebraic Topology
Abstract
The construction of characteristic classes via the curvature form of a connection is one motivation for the refinement of integral cohomology by de Rham cocycles -- known as differential cohomology. We will discuss the analog in the case of a group action on the manifold: The definition of equivariant characteristic forms in the Cartan model due to Nicole Berline and Mich\`ele Vergne motivates a refinement of equivariant integral cohomology by all Cartan cocycles. In view of this, we will also review previous definitions critically, in particular the one given by Kiyonori Gomi.
Cite
@article{arxiv.1510.06392,
title = {Equivariant Differential Cohomology},
author = {Andreas Kübel and Andreas Thom},
journal= {arXiv preprint arXiv:1510.06392},
year = {2015}
}
Comments
47 pages