S¹-bundles and gerbes over differentiable stacks
classification
🧮 math.DG
math-phmath.AGmath.MP
keywords
bundlesclassesdifferentiablegerbesstackstermsanalogueschern
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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.
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