Angella, Daniele and Tomassini, Adriano (2012) Symplectic manifolds and cohomological decomposition. arXiv . (In Press)
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Official URL: http://arxiv.org/abs/1211.2565v1
Abstract
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 |
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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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