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.

Symplectic manifolds and cohomological decomposition

ANGELLA, DANIELE;
2014-01-01

Abstract

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.
Settore MAT/03 - Geometria
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/58305
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