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Displaying similar documents to “The Chern-Weil Homomorphism of Regular Lie Algebroids”

Characteristic classes of regular Lie algebroids – a sketch

Kubarski, Jan

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The discourse begins with a definition of a Lie algebroid which is a vector bundle p : A → M over a manifold with an R -Lie algebra structure on the smooth section module and a bundle morphism γ : A → T M which induces a Lie algebra morphism on the smooth section modules. If γ has constant rank, the Lie algebroid is called regular. (A monograph on the theory of Lie groupoids and Lie algebroids is published by [Lie groupoids and Lie algebroids in differential geometry (1987; Zbl 0683.53029)].) A principal...

Algebroid nature of the characteristic classes of flat bundles

Jan Kubarski (1998)

Banach Center Publications

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The following two homotopic notions are important in many domains of differential geometry: - homotopic homomorphisms between principal bundles (and between other objects), - homotopic subbundles. They play a role, for example, in many fundamental problems of characteristic classes. It turns out that both these notions can be - in a natural way - expressed in the language of Lie algebroids. Moreover, the characteristic homomorphisms of principal bundles (the Chern-Weil homomorphism [K4],...