Gauss-Manin connections and Lie-Rinehart cohomology

Mathematics – Algebraic Geometry

Scientific paper

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11 pages, examples added in section 3

Scientific paper

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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