English

Small exotic Stein manifolds

Geometric Topology 2009-08-18 v2 Symplectic Geometry

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 b21b_2 \geq 1; we do this by enlarging corks and plugs.

Keywords

Cite

@article{arxiv.0807.3815,
  title  = {Small exotic Stein manifolds},
  author = {Selman Akbulut and Kouichi Yasui},
  journal= {arXiv preprint arXiv:0807.3815},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T11:03:47.522Z