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On the real secondary classes of transversely holomorphic foliations. (English) Zbl 0964.58018

In the context of transversely holomorphic foliations on differential manifolds, the author studies the relation between a characteristic class which represents the imaginary part of the Bott class and the Godbillon-Vey class. This is done by means of an explicitly given map which corresponds to forgetting the holomorphic structure. Several interesting examples related to this relation are presented.

MSC:

58H10 Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.)
32S65 Singularities of holomorphic vector fields and foliations
53C12 Foliations (differential geometric aspects)
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