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Gauss-Manin connections and Lie-Rinehart cohomology

Helge Maakestad
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Abstract

In this note a generalized Gauss-Manin connection is constructed for cohomology of Lie-Rinehart algebras, generalizing the classical Gauss-Manin connection. As an application a Gysin-map between K-groups of flat connections is constructed. We also calculate some examples of Gauss-Manin connections on hypersurface singularities.

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Helge Maakestad. 2006-02-09. Gauss-Manin connections and Lie-Rinehart cohomology. https://arxiv.org/abs/math/0602197

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