Atiyah sequences and connections on principal bundles over differentiable stacks

15 Dec 2020  ·  Indranil Biswas, Saikat Chatterjee, Praphulla Koushik, Frank Neumann ·

We construct and study general connections on Lie groupoids and differentiable stacks as well as on principal bundles over them using Atiyah sequences associated to transversal tangential distributions...

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Differential Geometry Category Theory Primary 53C08, Secondary 22A22, 58H05, 53D50