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.
Acta Math
3 Pith papers cite this work. Polarity classification is still indexing.
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For M diffeomorphic to CP^n with scal_g ≥ 4n(n+1), sys_2^st(M,g) ≤ π with equality only for the Fubini-Study metric.
A new extension-based construction produces strictly asymptotically Z-stable rank 3 bundles on polycyclic projective surfaces, plus a Hoppe-style criterion for rank 2 bundles.
citing papers explorer
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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.
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Stable $2$-systoles, scalar curvature and spin$^c$ comass bounds
For M diffeomorphic to CP^n with scal_g ≥ 4n(n+1), sys_2^st(M,g) ≤ π with equality only for the Fubini-Study metric.
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Asymptotically Z-stable bundles over projective surfaces
A new extension-based construction produces strictly asymptotically Z-stable rank 3 bundles on polycyclic projective surfaces, plus a Hoppe-style criterion for rank 2 bundles.