# Close cohomologous Morse forms with compact leaves

@article{Gelbukh2013CloseCM, title={Close cohomologous Morse forms with compact leaves}, author={Irina Gelbukh}, journal={Czechoslovak Mathematical Journal}, year={2013}, volume={63}, pages={515-528} }

We study the topology of foliations of close cohomologous Morse forms (smooth closed 1-forms with non-degenerate singularities) on a smooth closed oriented manifold. We show that if a closed form has a compact leave γ, then any close cohomologous form has a compact leave close to γ. Then we prove that the set of Morse forms with compactifiable foliations (foliations with no locally dense leaves) is open in a cohomology class, and the number of homologically independent compact leaves does not… Expand

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