no code implementations • 15 Dec 2020 • Indranil Biswas, Saikat Chatterjee, Praphulla Koushik, Frank Neumann
Let $\mathbb{X}=[X_1\rightrightarrows X_0]$ be a Lie groupoid equipped with a connection, given by a smooth distribution $\mathcal{H} \subset T X_1$ transversal to the fibers of the source map.
Differential Geometry Category Theory Primary 53C08, Secondary 22A22, 58H05, 53D50
no code implementations • 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.
Differential Geometry Category Theory Primary 53C08, Secondary 22A22, 58H05, 53D50
