Cork twisting exotic stein 4-manifolds

Selman Akbulut Michigan State University Kouichi Yasui Hiroshima University

Differential Geometry mathscidoc:1609.10292

Journal of Differential Geometry, 93, (1), 1-36, 2013
From any 4-dimensional oriented handlebody X without 3- and 4-handles and with b2  1, we construct arbitrary many compact Stein 4-manifolds that are mutually homeomorphic but not diffeomorphic to each other, so that their topological invariants (their fundamental groups, homology groups, boundary homology groups, and intersection forms) coincide with those of X. We also discuss the induced contact structures on their boundaries. Furthermore, for any smooth 4-manifold pair (Z, Y ) such that the complement Z − int Y is a handlebody without 3- and 4-handles and with b2  1, we construct arbitrary many exotic embeddings of a compact 4-manifold Y 0 into Z, such that Y 0 has the same topological invariants as Y .
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@inproceedings{selman2013cork,
  title={CORK TWISTING EXOTIC STEIN 4-MANIFOLDS },
  author={Selman Akbulut, and Kouichi Yasui},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160914072904030467954},
  booktitle={Journal of Differential Geometry},
  volume={93},
  number={1},
  pages={1-36},
  year={2013},
}
Selman Akbulut, and Kouichi Yasui. CORK TWISTING EXOTIC STEIN 4-MANIFOLDS . 2013. Vol. 93. In Journal of Differential Geometry. pp.1-36. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160914072904030467954.
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