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On the Cech bicomplex associated with foliated structures

Haruo Kitahara; Shinsuke Yorozu — 1978

Annales de l'institut Fourier

For a codimension $q$ foliation on a manifold, $η \times (d η)^{q}$ defines the Godbillon-Vey class. We show that $η$ itself defines a certain cohomology class, via the Cech bicomplex.

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