Atiyah sequences and connections on principal bundles over Lie groupoids and differentiable stacks

[摘要] We construct and study general and integrable connections on Lie groupoids and differentiable stacks, as well as on principal bundles over them using an Atiyah exact sequence of vector bundles associated to transversal tangential distributions.

[学科分类] 神经科学

[关键词] Atiyah exact sequence;principal bundles;Lie groupoids;connections;differentiable stacks