Geodesic
Cohomology of the Lie algebra of formal vector fields
Izvestiya. Mathematics , Tome 4 (1970) no. 2, pp. 327-342.

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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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I. M. Gel'fand; D. B. Fuchs. Cohomology of the Lie algebra of formal vector fields. Izvestiya. Mathematics , Tome 4 (1970) no. 2, pp. 327-342. http://geodesic.mathdoc.fr/item/IM2_1970_4_2_a3/

[1] Chzhen Shen-shen, Kompleksnye mnogoobraziya, IL, M., 1961

[2] Gelfand I. M., Fuks D. B., “Kagomologii algebry Li kasatelnykh vektornykh polei gladkogo mnogoobraziya”, Funkts. analiz i ego pril., 3:3 (1969), 32–52 | MR

[3] Gelfand I. M., Fuks D. B., “O kogomologiyakh algebry Li gladkikh vektornykh polei”, Dokl. AN SSSR, 190:6 (1969) | MR

[4] Teoriya algebr Li. Topologiya grupp Li, Seminar “Sofus Li”, IL, M., 1962

[5] Hochschild G., Serre J.-P., “Cohomology of Lie algebras”, Ann. Math., 57 (1953), 591–603 | DOI | MR | Zbl

[6] Borel A., “O kogomologiyakh glavnykh rassloennykh prostranstv i odnorodnykh prostranstv kompaktnykh grupp Li”, Rassloennye prostranstva i ikh prilozheniya, IL, M., 1958 | MR

[7] Veil G., Klassicheskie gruppy, ikh invarianty i predstavleniya, IL, M., 1947