Principal bundle groupoids, their gauge group and their nerve

DOI10.1016/j.geomphys.2023.104865arXiv2108.07352OpenAlexW3194064933MaRDI QIDQ6115693

Alfonso Garmendia, Sylvie Paycha

Publication date: 10 August 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.07352

zbMATH Keywords

Lie groupoidssimplicial setscategory theoryprincipal bundlesnervesbundle gerbes

Mathematics Subject Classification ID

Topological groupoids (including differentiable and Lie groupoids) (22A22) Differential geometric aspects of gerbes and differential characters (53C08)

Cites Work

• Four equivalent versions of nonabelian gerbes
• Path space connections and categorical geometry
• Survey article: an elementary illustrated introduction to simplicial sets
• An invitation to higher gauge theory
• Chern-Weil map for principal bundles over groupoids
• A supergeometric approach to Poisson reduction
• Quotients of singular foliations and Lie 2-group actions
• Note on a previous paper entitled 'On adding relations to homotopy groups'
• Combinatorial homotopy. II
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