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

Indranil Biswas; Saikat Chatterjee; Praphulla Koushik; Frank Neumann

doi:10.4171/jncg/486

JournalsjncgVol. 17, No. 2pp. 407–437

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

Indranil Biswas
Tata Institute of Fundamental Research, Mumbai, India
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Saikat Chatterjee
Indian Institute of Science Education and Research Thiruvananthapuram, Maruthamala, India
- MathSciNet
Praphulla Koushik
Indian Institute of Science Education and Research Thiruvananthapuram, Maruthamala, India
- MathSciNet
- zbMATH Open
Frank Neumann
Università di Pavia, Italy

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Abstract

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.

Cite this article

Indranil Biswas, Saikat Chatterjee, Praphulla Koushik, Frank Neumann, Atiyah sequences and connections on principal bundles over Lie groupoids and differentiable stacks. J. Noncommut. Geom. 17 (2023), no. 2, pp. 407–437

DOI 10.4171/JNCG/486