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The dimension of the leafwise reduced cohomology
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 123, Number 4, August 2001
- pp. 607-646
- 10.1353/ajm.2001.0023
- Article
- Additional Information
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Abstract
Geometric conditions are given so that the leafwise reduced cohomology is of 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 cohomology is also described for homogeneous foliations with dense leaves on closed nilmanifolds.
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