An infinite order cork
Geometric Topology
2014-10-07 v2 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1408.3200,
title = {An infinite order cork},
author = {Selman Akbulut},
journal= {arXiv preprint arXiv:1408.3200},
year = {2014}
}
Comments
4 pages, 7 figures The claimed proof is defective (the inequality used is not strong enough)