A one-parameter family of symplectic forms on an orbifold, followed by resolution and torus blowup, produces a non-Kähler manifold with both HLC and non-HLC symplectic forms in the same connected component.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Algebraic conditions identify special Lagrangian distributions in non-Kähler Calabi-Yau manifolds; explicit examples on Iwasawa and Nakamura manifolds yield non-diffeomorphic semi-flat SYZ mirror pairs.
citing papers explorer
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Symplectic non-K\"ahler manifolds with and without the Hard Lefschetz Condition
A one-parameter family of symplectic forms on an orbifold, followed by resolution and torus blowup, produces a non-Kähler manifold with both HLC and non-HLC symplectic forms in the same connected component.
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Non-K\"ahler Special Lagrangian submanifolds and SYZ mirror symmetry
Algebraic conditions identify special Lagrangian distributions in non-Kähler Calabi-Yau manifolds; explicit examples on Iwasawa and Nakamura manifolds yield non-diffeomorphic semi-flat SYZ mirror pairs.