Published in |
Journal of Gökova Geometry Topology, Volume 9 (2015) |
Title |
A plug with infinite order and some exotic 4-manifolds |
Author |
Motoo Tange
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Abstract |
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.
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Keywords |
4-manifold, exotic structure, cork, plug, Fintushel-Stern's knot-surgery |
Pages | 1-17 |
Download |
PDF |
Submitted: | Mar 16, 2014 |
Accepted: | Sep 7, 2015 |
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