Existence and stability of foliations by J-holomorphic spheres

Mathematics – Symplectic Geometry

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Scientific paper

We study the existence and stability of holomorphic foliations in dimension
greater than 4 under perturbations of the underlying almost complex structure.
An example is given to show that, unlike in dimension 4, J-holomorphic
foliations are not stable under large perturbations of almost complex
structure.

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