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The number of minimal components and homologically independent compact leaves of a weakly generic Morse form on a closed surface. (English) Zbl 1280.57021
Let $$M^2_g$$ be a closed orientable surface of genus $$g$$, and consider the foliation induced on $$M$$ by a weakly generic Morse form $$\omega$$. The author relates three quantities: the number of homologically independent compact leaves of the foliation, the number of its minimal components, and the total number of singularities of $$\omega$$ that are surrounded by a minimal component.

MSC:
 57R30 Foliations in differential topology; geometric theory 58K65 Topological invariants on manifolds
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References:
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