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Transactions of the American Mathematical Society
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
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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PII: S 0002-9947(1992)1183731-8
Article copyright: © Copyright 1992 American Mathematical Society