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arXiv · 1211.2565

Symplectic manifolds and cohomological decomposition

Daniele Angella·Adriano Tomassini
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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.

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Daniele Angella, Adriano Tomassini. 2012-11-12. Symplectic manifolds and cohomological decomposition. https://doi.org/10.4310/jsg.2014.v12.n2.a1

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