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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Characteristic classes of transversely homogeneous foliations


Authors: Chal Benson and David B. Ellis
Journal: Trans. Amer. Math. Soc. 289 (1985), 849-859
MSC: Primary 57R32; Secondary 53C12
MathSciNet review: 784016
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Abstract: 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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DOI: http://dx.doi.org/10.1090/S0002-9947-1985-0784016-8
PII: S 0002-9947(1985)0784016-8
Article copyright: © Copyright 1985 American Mathematical Society