Atiyah sequences and connections on principal bundles over differentiable stacks
Differential Geometry
2023-03-28 v3 Category Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2012.08442,
title = {Atiyah sequences and connections on principal bundles over differentiable stacks},
author = {Indranil Biswas and Saikat Chatterjee and Praphulla Koushik and Frank Neumann},
journal= {arXiv preprint arXiv:2012.08442},
year = {2023}
}
Comments
To appear in Journal of Noncommutative Geometry