||Journal of Gökova Geometry Topology, Volume 6 (2012)|
||Stein 4-manifolds and corks|
||Selman Akbulut and Kouichi Yasui|
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.
||Stein 4-manifold, cork, plug, knot surgery, rational blowdown|
|Submitted: ||Oct 27, 2012|
|Accepted: ||Dec 29, 2012|
2012 Journal main page|
Last updated: December 2012
Web address: GokovaGT.org/journal/2012