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Symplectic manifolds and cohomological decomposition

Angella, Daniele and Tomassini, Adriano (2012) Symplectic manifolds and cohomological decomposition. arXiv . (In Press)

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    Given a closed symplectic manifold, we study when the Lefschetz decomposition induced by the $\mathfrak{sl}(2;\mathbb{R})$-representation yields a decomposition of the de Rham cohomology. In particular, this holds always true for the second de Rham cohomology group, or if the symplectic manifold satisfies the Hard Lefschetz Condition.

    Item Type: Article
    Additional Information: Imported from arXiv. To appear in Journal of Symplectic Geometry.
    Uncontrolled Keywords: Imported from arXiv.
    Subjects: Area01 - Scienze matematiche e informatiche > MAT/03 - Geometria
    Divisions: Dipartimenti (until 2012) > DIPARTIMENTO DI MATEMATICA "L. TONELLI"
    Depositing User: Dott. Daniele Angella
    Date Deposited: 08 Oct 2013 20:45
    Last Modified: 08 Oct 2013 20:45
    URI: http://eprints.adm.unipi.it/id/eprint/1619

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