Equivariant smooth Deligne cohomology
Differential Geometry
2007-05-23 v1 Algebraic Topology
Abstract
On the basis of Brylinski's work, we introduce a notion of equivariant smooth Deligne cohomology group, which is a generalization of both the ordinary smooth Deligne cohomology and the ordinary equivariant cohomology. Using the cohomology group, we classify equivariant circle bundles with connection, and equivariant gerbes with connection.
Keywords
Cite
@article{arxiv.math/0307373,
title = {Equivariant smooth Deligne cohomology},
author = {Kiyonori Gomi},
journal= {arXiv preprint arXiv:math/0307373},
year = {2007}
}
Comments
27 pages. Uses XyPic