Harmonic cohomology of symplectic manifolds. (Q1417994)
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scientific article; zbMATH DE number 2022082
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harmonic cohomology of symplectic manifolds. |
scientific article; zbMATH DE number 2022082 |
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Harmonic cohomology of symplectic manifolds. (English)
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6 January 2004
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In the paper under review the author proves a Künneth type theorem and a Poincaré duality theorem for the harmonic cohomology and shows how surjectivity of certain Lefschetz type mappings is related to the filtration of the de Rham cohomology which was introduced by \textit{O. Mathieu} [Comment. Math. Helv. 70, No. 1, 1--9 (1995; Zbl 0831.58004)].
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symplectic manifolds
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harmonic cohomology
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filtration
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