Equivariant smooth Deligne cohomology

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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.
27 pages. Uses XyPic

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Differential Geometry, Algebraic Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/68196

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307373
 http://arxiv.org/abs/math/0307373

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arXiv