Relation To Smooth Manifolds
Every compact smooth manifold of dimension 2n, which has only handles of index ≤ n, has a Stein structure provided n>2, and when n=2 the same holds provided the 2-handles are attached with certain framings (framing less than the Thurston-Bennequin framing). Every closed smooth 4-manifold is a union of two Stein 4-manifolds glued along their common boundary.
Read more about this topic: Stein Manifold
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