paper

An infinite order cork

arXiv:1408.3200

Abstract

We construct an infinite order cork (W,f), which means that W is a smooth compact contractible 4-manifold with Stein structure, and f is a self diffeomorphism of the boundary of W, such that the n-fold composition maps f^{n}=f o f o... o f give rise to smoothly distinct corks (W, f^{n}) for sufficiently large values of n, as it approaches to infinity.

4 pages, 7 figures The claimed proof is defective (the inequality used is not strong enough)

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