Small exotic Stein manifolds

Selman Akbulut; Kouichi Yasui

doi:10.4171/cmh/208

JournalscmhVol. 85, No. 3pp. 705–721

Small exotic Stein manifolds

Selman Akbulut
Michigan State University, East Lansing, USA
Kouichi Yasui
Kyoto University, Japan

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Abstract

It is known that the only Stein filling of the standard contact structure on $S^{3}$ is $B^{4}$ . In this paper, we construct pairs of homeomorphic but not diffeomorphic simply connected compact Stein $4$ -manifolds, for any Betti number $b_{2} \geq 1$ ; 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. 705–721

DOI 10.4171/CMH/208