Small exotic Stein manifolds

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 simply connected exotic compact Stein 4-manifold pairs for any Betti number $b_2\ge 1$; we do this by enlarging corks and plugs.

15 pages, 17 figures, revised version, to appear in Commentarii Mathematici Helvetici

References in corpus (3)

• Corks, Plugs and exotic structures
• Exotic rational elliptic surfaces without 1-handles
• Small exotic rational surfaces without 1- and 3-handles

Cited by in corpus (1)

• Corks, Plugs and exotic structures