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

Johannes Huebschmann
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Abstract

A Chern-Weil construction for extensions of Lie-Rinehart algebras is introduced. This generalizes the classical Chern-Weil construction in differential geometry and yields characteristic classes for arbitrary extensions of Lie-Rinehart algebras. Some examples arising from spaces with singularities and from foliations are given that cannot be treated by means of the classical Chern-Weil construction.

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BibTeXRIS

Johannes Huebschmann. 1997-06-01. Extensions of Lie-Rinehart algebras and the Chern-Weil construction. https://arxiv.org/abs/dg-ga/9706002

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