On characteristic classes in the framework of Gelfand-Fuks cohomology

Bott, Raoul

Colloque analyse et topologie, Astérisque, no. 32-33 (1976), pp. 113-139.

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     author = {Bott, Raoul},
     title = {On characteristic classes in the framework of {Gelfand-Fuks} cohomology},
     booktitle = {Colloque analyse et topologie},
     series = {Ast\'erisque},
     pages = {113--139},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {32-33},
     year = {1976},
     mrnumber = {402768},
     zbl = {0328.57005},
     language = {en},
     url = {http://www.numdam.org/item/AST_1976__32-33__113_0/}
}

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Bott, Raoul. On characteristic classes in the framework of Gelfand-Fuks cohomology, dans Colloque analyse et topologie, Astérisque, no. 32-33 (1976), pp. 113-139. http://www.numdam.org/item/AST_1976__32-33__113_0/

Bibliographie
Cité par

Bott, R. [1] 1971 On a topological obstruction to integrability. Proc. International Congress Math. (Nice 1970), 1970 Vol. 1, 27-36. Gauthier-Villars, Paris. | MR | Zbl

Bott, R. [2] 1972 Lectures on characteristic classes and foliations (Notes by Lawrence Conlon). Lecture Notes in Mathematics #279, 1-94. Springer-Verlag, New York. | MR | Zbl

Bott, R. and Haefliger, A. [3] 1972 On characteristic classes of $Γ$ -foliations. Bull. AMS, 78, 1039-1044. | DOI | MR | Zbl

Cartan, H. [4] 1950 Notions d'algèbre différentielle. La transgression dans un groupe de Lie. Colloque de Topologie, Bruxelles, 15-27, 57-71. | Zbl

Chern, S. and Simons, J. [5] 1971 Some cohomology classes in principal fiber bundles and their applications to Riemannian geometry. Proc. Nat. Acad. Sci., U. S. A., 68, 791-794. | DOI | MR | Zbl

Gelfand, I., and Fuks, D. [6] 1968 Cohomologies of the Lie algebra of vector fields on a circle. Funct. Anal., 2, 342-3. | DOI | MR | Zbl

Gelfand, I., and Fuks, D. [7] 1969 Cohomologies of the Lie algebra of vector fields on a manifold. Funct. Anal., 3, 155. | DOI | MR | Zbl

Gelfand, I., and Fuks, D. [8] 1969 The cohomology of the Lie algebra of tangent vector fields on a smooth manifold, I. J. Functional Anal., 3, 194-210. | DOI | MR | Zbl

Gelfand, I., and Fuks, D. [9] 1970 The cohomology of the Lie algebra of tangent vector fields on a smooth manifold, II. J. Functional Anal., 4, 110-116. | DOI | MR | Zbl

Gelfand, I., and Fuks, D. [10] 1970 The cohomology of the Lie algebra of formal vector fields. Izv. Ann. SSSR, 34, 327-342. | MR | Zbl

Godbillon, C. [11] 1972 Cohomologie d'algèbres de Lie de champs de vecteurs formels. Sém. Bourbaki, 421-01 to 421-19. | EuDML | Numdam | Zbl

Godbillon, C., and Vey, J. [12] 1971 Un invariant des feuilletages de codimension un. C. R. Acad. Sei., Paris, 273, 92. | MR | Zbl

Guillemin, V. [13] 1973 Cohomology of vector fields on a manifold. Advances in Math., 10, 192-220. | DOI | MR | Zbl

Haefliger, A. [14] 1970 Feuilletages sur les variétés ouvertes. Topology, 9, 183-194. | DOI | MR | Zbl

Haefliger, A. [15] 1971 Homotopy and integrability. Lecture Notes in Mathematics #197, 133-163, Springer-Verlag, New York. | MR | Zbl

Haefliger, A. [16] 1972 Sur les classes caractéristiques des feuilletages. Sém. Bourbaki, 412-01 to 412-21. | EuDML | Numdam | Zbl

Kamber, F., and Tondeur, P. [17] Foliated Bundles and characteristic classes. Springer notes to be published. | MR | Zbl

Kobayashi, S. [18] 1961 Canonical forms on frame bundles of higher order contact. Diff. Geometry, Proc. Symp. III, AMS, Tuscon. | DOI | MR | Zbl

Thurston, W. [19] 1972 Noncobordant foliations of $S^{3}$ . Bull. Am. Math. Soc., 78, 511-514. | DOI | MR | Zbl

Thurston, W. [20] 1973 The theory of foliations of codimension greater than one. Proc. of Stanford U. Conf. on Diff. Geom. 1973. | Zbl

Thurston, W. [21] 1974 Foliations and groups of diffeomorphisms. Bull. AMS, 80, 304-312. | DOI | MR | Zbl