A cohomological lower bound for the transverse LS category of a foliated manifold (Q1928892)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A cohomological lower bound for the transverse LS category of a foliated manifold |
scientific article |
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A cohomological lower bound for the transverse LS category of a foliated manifold (English)
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4 January 2013
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The author proves that the saturated transverse Lusternik-Schnirelmann category of a compact Hausdorff foliation is bounded below by the length of the cup product in the subalgebra of cohomology classes with positive transverse degree in the \(E_2\) term of the spectral sequence of the foliation. The interest of this result is that the \(E_2\) terms of the spectral sequence of a Riemannian foliation on a compact manifold are known to be finite dimensional.
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foliation
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compact Hausdorff foliation
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spectral sequence
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transverse Lusternik-Schnirelmann category
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tangential Lusternik-Schnirelmann category
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basic cohomology
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