It is known that the only Stein filling of the standard contact structure on S3 is B4. In this paper, we construct pairs of homeomorphic but not diffeomorphic simply connected compact Stein 4-manifolds, for any Betti number b2 ≥ 1; we do this by enlarging corks and plugs.
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Selman Akbulut, Kouichi Yasui, Small exotic Stein manifolds. Comment. Math. Helv. 85 (2010), no. 3, pp. 705–721DOI 10.4171/CMH/208