Equivariant smooth Deligne cohomology

Details Equivariant smooth Deligne cohomology Equivariant smooth Deligne cohomology

2003-07-29

arxiv.org/abs/math/0307373v1

Mathematics

Differential Geometry

27 pages. Uses XyPic

Scientific paper

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.

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