English

S^1-bundles and gerbes over differentiable stacks

Differential Geometry 2007-05-23 v1 Mathematical Physics Algebraic Geometry math.MP

Abstract

We study S1S^1-bundles and S1S^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.

Keywords

Cite

@article{arxiv.math/0306182,
  title  = {S^1-bundles and gerbes over differentiable stacks},
  author = {Kai Behrend and Ping Xu},
  journal= {arXiv preprint arXiv:math/0306182},
  year   = {2007}
}

Comments

6 pages

R2 v1 2026-07-22T16:55:21.657Z