Holonomy invariant cochains for foliations

John M. Franks

doi:10.1090/S0002-9939-1977-0431198-4

Holonomy invariant cochains for foliations

John M. Franks^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 Hx for a codimension one transversally oriented foliation, then holonomy invariant cochains generate all of the one dimensional cohomology.

Original language	English (US)
Pages (from-to)	161-164
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	62
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1977-0431198-4
State	Published - Jan 1977

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1977-0431198-4

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Holonomy invariant cochains for foliations

Abstract

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