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Register a new userAn Integrability Theorem for Almost-Kahler Structures using J-anti-invariant Two-Forms on Four-Manifolds
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We establish a new criterion for a compatible almost complex structure on a symplectic four-manifold to be integrable and hence Kahler. Our main theorem shows that the existence of three linearly independent closed J-anti-invariant two-forms implies the integrability of the almost complex structure. This proves the conjecture of Draghici-Li-Zhang in the almost-Kahler case
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