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

  • Saikat Chatterjee

    Indian Institute of Science Education and Research Thiruvananthapuram, Maruthamala, India

  • Praphulla Koushik

    Indian Institute of Science Education and Research Thiruvananthapuram, Maruthamala, India

  • Frank Neumann

    Università di Pavia, Italy
Atiyah sequences and connections on principal bundles over Lie groupoids and differentiable stacks cover
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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