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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Holonomy invariant cochains for foliations


Author: John M. Franks
Journal: Proc. Amer. Math. Soc. 62 (1977), 161-164
MSC: Primary 57D30
MathSciNet review: 0431198
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Abstract: The notion of a holonomy invariant cochain for a foliation is developed generalizing the idea of a holonomy invariant measure. An example is given on a foliation in which every leaf has exponential growth, and it is shown that if the inclusion of every leaf is trivial on $ {H_1}$ for a codimension one transversally oriented foliation, then holonomy invariant cochains generate all of the one dimensional cohomology.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0431198-4
PII: S 0002-9939(1977)0431198-4
Article copyright: © Copyright 1977 American Mathematical Society