S^1-bundles and gerbes over differentiable stacks

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We study $S^1$-bundles and $S^1$-gerbes over differentiable stacks in terms of Lie groupoids, and construct Chern classes and Dixmier-Douady classes in terms of analogues of connections and curvature.
6 pages

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Differential Geometry, Mathematical Physics, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/67769

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306182
 http://arxiv.org/abs/math/0306182
 published in C. R. Acad. Sci. Paris, Ser. I 336 (2003) 163-168

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arXiv