The dimension of the leafwise reduced cohomology

Authors
Lopez, JAA Hector, G
Citation
Jaa. Lopez et G. Hector, The dimension of the leafwise reduced cohomology, AM J MATH, 123(4), 2001, pp. 607-646
Citations number
32
Categorie Soggetti
Mathematics
Journal title
AMERICAN JOURNAL OF MATHEMATICS
ISSN journal
00029327 → ACNP
Volume
123
Issue
4
Year of publication
2001
Pages
607 - 646
Database
ISI
SICI code
0002-9327(200108)123:4<607:TDOTLR>2.0.ZU;2-Y
Abstract
Geometric conditions are given so that the leafwise reduced cohomology is o f infinite dimension, especially for foliations with dense leaves on closed manifolds. The main new definition involved is the intersection number of subfoliations with "appropriate coefficients." The leafwise reduced cohomol ogy is also described for homogeneous foliations with dense leaves on close d nilmanifolds.