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Equivariant smooth Deligne cohomology

Kiyonori Gomi
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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.

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BibTeXRIS

Kiyonori Gomi. 2003-07-29. Equivariant smooth Deligne cohomology. https://arxiv.org/abs/math/0307373

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