no. 3
On the Cech bicomplex associated with foliated structures
Annales de l'Institut Fourier, Tome 28 (1978) no. 3, pp. 217-224.
corrigé par Erratum : On the Cech bicomplex associated with foliated structures

Pour un feuilletage de codimension q sur une variété, η×(dη) q définit la classe de Godbillon-Vey. On démontre que η définit une certaine classe de cohomologie, via la bicomplexe de Cech.

For a codimension q foliation on a manifold, η×(dη) q defines the Godbillon-Vey class. We show that η itself defines a certain cohomology class, via the Cech bicomplex.

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Kitahara, Haruo; Yorozu, Shinsuke. On the Cech bicomplex associated with foliated structures. Annales de l'Institut Fourier, Tome 28 (1978) no. 3, pp. 217-224. doi : 10.5802/aif.711. https://aif.centre-mersenne.org/articles/10.5802/aif.711/

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[2] C. Godbillon and J. Vey, Un invariant des feuilletages de codimension 1, C.R. Acad. Sci., Paris, 273 (1971), A92-95. | MR | Zbl

[3] F.W. Kamber and P. Tondeur, Foliated bundles and characteristic classes, Lecture Notes in Math., Springer, 493 (1975). | MR | Zbl

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[5] G. Reeb, Sur certaines propriétés topologiques des variétés feuilletées, Hermann (1952). | MR | Zbl

[6] Y. Shikata, On the spectral sequences associated to foliated structures, Nagoya Math. J., 38 (1970), 53-61. | Zbl

[7] Y. Shikata, On the cohomology of bigraded forms associated with foliated structures, Bull. Soc. Math. Grèce, 15 (1974), 68-76. | MR | Zbl

[8] A. So, J.C. Thomas and C. Watkiss, Sur la multiplicativité de l'homomorphisme de Chern-Weil local, C.R. Acad. Sci., Paris, 280 (1975), A369-371. | MR | Zbl

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