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Cohomologies of the Lie algebra of tangential vector fields of a smooth manifold. (English. Russian original) Zbl 0216.20301

Funct. Anal. Appl. 3, 194-210 (1969); translation from Funkts. Anal. Prilozh. 3, No. 3, 32-52 (1969).

MSC:

17B56 Cohomology of Lie (super)algebras
17B66 Lie algebras of vector fields and related (super) algebras
57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology
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References:

[1] I. M. Gel’fand and V. B. Fuks, ”Cohomologies of the Lie algebra of vector fields on a circumference,” Funkts. Analiz.,3, No. 4, 92–93 (1968). · Zbl 0176.11501
[2] I. M. Gel’fand and V. B. Fuks, ”Cohomologies of the Lie algebra of vector fields on a manifold,” Funkts. Analiz.,3, No. 2, 97 (1969). · Zbl 0216.20301
[3] J. Schwartz, ”Differential geometry and topology (1967) (mimeograph).
[4] I. M. Gel’fand and C. E. Shilov, Generalized Functions, New York (1961–68).
[5] L. Schwartz, Théorie des distributions, Paris (1952). · Zbl 0047.34903
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