S¹-bundles and gerbes over differentiable stacks

2003/06/11 by Kai Behrend, Ping Xu
Mathematics · Physics and Astronomy · #math.DG #math-ph #math.AG #math.MP

paper · pdf

published as published in C. R. Acad. Sci. Paris, Ser. I 336 (2003) 163-168 · 6 pages

arxiv created 2003/06/11 · arxiv updated 2009/11/30

Abstract

We study S¹-bundles and S¹-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.

Related

• Differentiable Stacks and Gerbes
• Geometric structures on Lie groupoids and differentiable stacks
• Bundle Gerbes
• Reduction of strongly equivariant bundle gerbes with connection and curving
• Equivariant gerbes over compact simple Lie groups