Existence and stability of foliations by J-holomorphic spheres

2008/11/20 by Hind, R., von Bergmann, J.
#FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.0811.3397

Abstract

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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