Connections on central extensions, lifting gerbes, and finite-dimensional obstruction vanishing

DOI10.1090/conm/766/15372zbMath1469.53063arXiv1910.10402OpenAlexW2981340657MaRDI QIDQ4998843

Markus Upmeier, Indranil Biswas

Publication date: 9 July 2021

Published in: Geometry at the Frontier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.10402

zbMATH Keywords

central extensionsconnectionsgerbes

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Linear and affine connections (53B05) Differential geometric aspects of gerbes and differential characters (53C08)

Cites Work

• Obstruction classes of crossed modules of Lie algebroids and Lie groupoids linked to existence of principal bundles
• Algebraic topology
• Sur quelques points d'algèbre homologique
• On some types of topological groups
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• An Introduction to Bundle Gerbes
• Equivalences of smooth and continuous principal bundles with infinite-dimensional structure group
• Non-Abelian Extensions of Topological Lie Algebras
• Loop spaces, characteristic classes and geometric quantization

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