Classification of principal bundles and Lie groupoids with prescribed gauge group bundle

DOI10.1016/0022-4049(89)90157-6zbMath0673.55015OpenAlexW1970473534WikidataQ115364441 ScholiaQ115364441MaRDI QIDQ1120849

Kirill Charles Howard Mackenzie

Publication date: 1989

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90157-6

zbMATH Keywords

Čech cohomologyLie groupoidsprincipal bundlecrossed moduleobstruction classgauge group bundlesimple transitive action

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Fiber bundles in algebraic topology (55R10)

Related Items (14)

On extensions of principal bundles ⋮ Chern-Simons functional under gauge transformations on flat bundles ⋮ Classification of extensions of principal bundles and transitive Lie groupoids with prescribed kernel and cokernel ⋮ Covering groups of non-connected topological groups revisited ⋮ Unnamed Item ⋮ Principal bundles and connections modelled by Lie group bundles ⋮ A supergeometric approach to Poisson reduction ⋮ Obstruction classes of crossed modules of Lie algebroids and Lie groupoids linked to existence of principal bundles ⋮ Lie Groups of Bundle Automorphisms and Their Extensions ⋮ Determination of a double Lie groupoid by its core diagram ⋮ On the connection theory of extensions of transitive Lie groupoids ⋮ Classifying spaces and Bredon (co)homology for transitive groupoids ⋮ Cohomology of Flat Principal Bundles ⋮ Preface to special issue in memory of Kirill C. H. Mackenzie (1951--2020). I

Cites Work

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