Commentarii Mathematici Helvetici

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Volume 85, Issue 3, 2010, pp. 705–721
DOI: 10.4171/CMH/208

Published online: 2010-05-23

Small exotic Stein manifolds

Selman Akbulut[1] and Kouichi Yasui[2]

(1) Michigan State University, East Lansing, USA
(2) Kyoto University, Japan

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.

Keywords: 4-manifold, Stein manifold, handlebody, cork, plug

Akbulut Selman, Yasui Kouichi: Small exotic Stein manifolds. Comment. Math. Helv. 85 (2010), 705-721. doi: 10.4171/CMH/208