||Journal of Gökova Geometry Topology, Volume 9 (2015)|
||A plug with infinite order and some exotic 4-manifolds|
It is known that a closed, orientable, simply-connected 4-dimensional manifold X'
which is an exotic copy of X can
be obtained by removing a submanifold C (called a cork) of X
and regluing C back.
We can assume that C is contractible and the gluing map is an involution.
In this paper we define corks and plugs with order p greater than or equal to 2 and
we show a plug (P,φ)
with infinite order which produces "a crossing change" of Fintushel-Stern's knot surgery where
(P,φ2) is a (generalized) cork with infinite order.
||4-manifold, exotic structure, cork, plug, Fintushel-Stern's knot-surgery|
|Submitted: ||Mar 16, 2014|
|Accepted: ||Sep 7, 2015|
2015 Journal main page|
Last updated: February 2016
Web address: GokovaGT.org/journal/2015