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arXiv 2012-11-12 DOI 10.4310/JSG.2014.v12.n2.a1 0 views

Symplectic manifolds and cohomological decomposition

Angella, Daniele · Tomassini, Adriano

Original · EN

Given a closed symplectic manifold, we study when the Lefschetz decomposition induced by the sl(2;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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