2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67769We 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 pagesDifferential GeometryMathematical PhysicsAlgebraic GeometryS^1-bundles and gerbes over differentiable stackstext