Small exotic Stein manifolds

Mathematics – Geometric Topology

Scientific paper

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

Scientific paper

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 $b_2 \geq 1$; we do this by enlarging
corks and plugs.

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