Published in |
Journal of Gökova Geometry Topology, Volume 6 (2012) |
Title |
Stein 4-manifolds and corks |
Author |
Selman Akbulut and Kouichi Yasui |
Abstract |
It is known that every compact Stein 4-manifolds can be embedded
into a simply connected, minimal, closed, symplectic 4-manifold.
By using this property, we discuss a new method of constructing corks.
This method generates a large class of new corks including all the previously known ones.
We prove that every one of these corks can knot in infinitely many different ways
in a closed smooth manifold, by showing that cork twisting along them gives different
exotic smooth structures. We also give an example of infinitely many disjoint embeddings
of a fixed cork into a non-compact 4-manifold which produce infinitely many exotic smooth structures.
Furthermore, we construct arbitrary many simply connected compact codimension zero submanifolds of
S4 which are mutually homeomorphic but not diffeomorphic.
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Keywords |
Stein 4-manifold, cork, plug, knot surgery, rational blowdown |
Pages | 58-79 |
Download |
PDF |
Submitted: | Oct 27, 2012 |
Accepted: | Dec 29, 2012 |
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