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Gauss-Manin connections and Lie-Rinehart cohomology

2006/02/09 by Helge Øystein Maakestad, Maakestad, Helge
Mathematics · #14C17 #14L15 #19E15 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.math/0602197

openalex publication_date 2006/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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