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bott-chern cohomology 1complex structures 1dolbeault cohomology 1invariant forms 1nilmanifolds 1

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math.SG2026

Symplectic non-Kähler manifolds with and without the Hard Lefschetz Condition

Richard Hind, Adriano Tomassini

In this paper we construct compact manifolds without Kähler structures that admit both a symplectic form satisfying the Hard Lefschetz Condition (HLC) and another symplectic form…