Characteristic Classes of Transversely Homogeneous Foliations
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چکیده
The foliations studied in this paper have transverse geometry modeled on a homogeneous space G/H with transition functions given by the left action of G. It is shown that the characteristic classes for such a foliation are determined by invariants of a certain flat bundle. This is used to prove that when G is semisimple, the characteristic classes are rigid under smooth deformations, extending work of Brooks, Goldman and Heitsch.
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