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. 
@article{IM2_1970_4_2_a3,
     author = {I. M. Gel'fand and D. B. Fuchs},
     title = {Cohomology of the {Lie} algebra of formal vector fields},
     journal = {Izvestiya. Mathematics },
     pages = {327--342},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_2_a3/}
}
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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/