= Generic transversality for simple holomorphic spheres
For a residual set of smooth <compatible almost complex structures>, all <simple J-holomorphic spheres> in a specified countable set of spherical classes are regular. The corresponding evaluation maps at marked points are transverse to generic incidence conditions; generic paths give parameterized <transversality>. The universal linearization can vary the target structure near an <injective> point of the curve, which removes its <cokernel>. This assertion concerns simple curves and does not ensure regularity of arbitrary multiple covers.
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