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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On the self-intersections of foliation cycles


Author: Yoshihiko Mitsumatsu
Journal: Trans. Amer. Math. Soc. 334 (1992), 851-860
MSC: Primary 57R30; Secondary 28D15, 57R20
DOI: https://doi.org/10.1090/S0002-9947-1992-1183731-8
MathSciNet review: 1183731
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Abstract: The existence of a transverse invariant measure imposes a strong restriction on the transverse complexity of a foliated manifold. The homological self-intersection of the corresponding foliation cycle measures the complexity around its support. In the present paper, the vanishing of the self-intersection is proven under some regularity condition on the measure.


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DOI: https://doi.org/10.1090/S0002-9947-1992-1183731-8
Article copyright: © Copyright 1992 American Mathematical Society