Bott’s vanishing theorem for regular Lie algebroids

DOI10.1090/S0002-9947-96-01646-7zbMath0858.22009OpenAlexW1532956630MaRDI QIDQ4889999

Jan Kubarski

Publication date: 11 August 1996

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01646-7

zbMATH Keywords

Lie groupsvector bundlesLie algebroidsPoisson manifoldspseudogroupsprincipal bundlesdifferential groupoidsBott vanishing theoremChern-Weil homomorphismnonclosed Lie subgroupstransversally complete foliations

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10) Characteristic classes and numbers in differential topology (57R20) Lie algebras of Lie groups (22E60) General properties and structure of real Lie groups (22E15) Connections (general theory) (53C05)

Related Items

Equivariant cohomology and localization for Lie algebroids ⋮ Generalised connections over a vector bundle map. ⋮ Atiyah and Todd classes of regular Lie algebroids ⋮ Invariants of Lie algebroids ⋮ The Euler-Poincaré-Hopf theorem for flat connections in some transitive Lie algebroids ⋮ Lie algebroids, holonomy and characteristic classes ⋮ Poincaré duality for transitive unimodular invariantly oriented Lie algebroids

Cites Work

• Foliated bundles and characteristic classes
• Du prolongement des espaces fibrés et des structures infinitésimales
• Étude des feuilletages transversalement complets et applications
• Multilinear Algebra
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