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Characteristic homomorphism for $(F_{1}, F_{2})$ -foliated bundles over subfoliated manifolds

José Manuel Carballés — 1984

Annales de l'institut Fourier

In this paper a construction of characteristic classes for a subfoliation $(F_{1}, F_{2})$ is given by using Kamber-Tondeur’s techniques. For this purpose, the notion of $(F_{1}, F_{2})$ -foliated principal bundle, and the definition of its associated characteristic homomorphism, are introduced. The relation with the characteristic homomorphism of $F_{i}$ -foliated bundles, $i = 1, 2$ , the results of Kamber-Tondeur on the cohomology of $g$ - $D G$ -algebras. Finally, Goldman’s results on the restriction of foliated bundles to the leaves of a foliation...

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Characteristic homomorphism for ( F 1 , F 2 ) -foliated bundles over subfoliated manifolds

Characteristic homomorphism for $(F_{1}, F_{2})$ -foliated bundles over subfoliated manifolds