Small exotic Stein manifolds

  • Selman Akbulut

    Michigan State University, East Lansing, USA
  • Kouichi Yasui

    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.

Cite this article

Selman Akbulut, Kouichi Yasui, Small exotic Stein manifolds. Comment. Math. Helv. 85 (2010), no. 3, pp. 705–721

DOI 10.4171/CMH/208