English

Infinitely many small exotic Stein fillings

Geometric Topology 2013-04-10 v3 Symplectic Geometry

Abstract

We show that there exist infinitely many simply connected compact Stein 4-manifolds with b_2=2 such that they are all homeomorhic but mutually non-diffeomorphic, and they are Stein fillings of the same contact 3-manifold on their boundaries. We also describe their handlebody pictures.

Keywords

Cite

@article{arxiv.1208.1053,
  title  = {Infinitely many small exotic Stein fillings},
  author = {Selman Akbulut and Kouichi Yasui},
  journal= {arXiv preprint arXiv:1208.1053},
  year   = {2013}
}

Comments

9 pages, 7 figures, revised, a new section added

R2 v1 2026-06-21T21:46:34.682Z