The dimension of the leafwise reduced cohomology
classification
🧮 math.GT
math.ATmath.DS
keywords
cohomologyleafwisereducedcloseddensedimensionfoliationsleaves
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Geometric conditions are given so that the leafwise reduced cohomology is of infinite dimension, specially 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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