Extensions of Lie-Rinehart algebras and the Chern-Weil construction

zbMath0946.17008arXivdg-ga/9706002MaRDI QIDQ4227255

Johannes Huebschmann

Publication date: 25 October 2000

Full work available at URL: https://arxiv.org/abs/dg-ga/9706002

zbMATH Keywords

Lie-Rinehart algebrasBott vanishing theoremLie algebra extensionsChern-Weil homomorphismextensions of principal bundlesregular Lie algebroids

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Foliations in differential topology; geometric theory (57R30) Connections (general theory) (53C05) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (10)

The Chern character for Lie-Rinehart algebras ⋮ On moduli spaces of K\"ahler-Poisson algebra over rational functions in two variables ⋮ Unnamed Item ⋮ \(\Lambda\)-modules and holomorphic Lie algebroid connections ⋮ Integrable partial differential equations and Lie-Rinehart algebras ⋮ Chern classes and Lie-Rinehart algebras ⋮ Kähler-Poisson algebras ⋮ Lie-Rinehart bialgebras for crossed products ⋮ Cohomology of restricted Lie-Rinehart algebras and the Brauer group ⋮ Brackets by any other name

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