COHOMOLOGY OF THE LIE ALGEBRA OF FORMAL VECTOR FIELDS

1970/04/30 by I. M. Gel'fand, D. B. Fuks · 2 citations
Mathematics · #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #Advanced Differential Equations and Dynamical Systems

paper · doi:10.1070/im1970v004n02abeh000908

openalex publication_date 1970/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11

Abstract

We calculate the cohomology of the Lie algebra of formal vector fields at the origin in a euclidean space. The results are applied to the investigation of the Lie algebra of tangent vector fields on a smooth manifold.

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• Dmitry Fuchs [wikipedia]