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What is the simplest example of a manifold M^2n that admits two different symplectic structrues with isotopic almost complex structures, and such that Gromov Witten invariants of these symplectic structures are different? (unfortunatelly I don't know any example...) If we don't impose the condition that almost complex structrues are isotopic, such examples exist in dim 6.

Is there a manfiold $M^{2n}$ with two symplectic forms $w_1$, $w_2$, such that the cohomology classes of $w_1$ and $w_2$ are the same and the corresponding almost complex structures are homotopic, but at the same time the Gromov Witten invariants are different?