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.
\Bibitem{GelFuc70}
\by I.~M.~Gel'fand, D.~B.~Fuchs
\paper Cohomology of the Lie algebra of formal vector fields
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 2
\pages 327--342
\mathnet{http://mi.mathnet.ru/eng/im2418}
\crossref{https://doi.org/10.1070/IM1970v004n02ABEH000908}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=266195}
\zmath{https://zbmath.org/?q=an:0216.20302}
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https://doi.org/10.1070/IM1970v004n02ABEH000908
https://www.mathnet.ru/eng/im/v34/i2/p322
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