Infinite order corks
Geometric Topology
2017-06-14 v3
Abstract
We construct a compact, contractible 4-manifold , an infinite-order self-diffeomorphism of its boundary, and a smooth embedding of into a closed, simply connected 4-manifold , such that the manifolds obtained by cutting out of and regluing it by powers of are all pairwise nondiffeomorphic. The manifold can be chosen from among infinitely many homeomorphism types, all obtained by attaching a 2-handle to the meridian of a thickened knot complement.
Cite
@article{arxiv.1603.05090,
title = {Infinite order corks},
author = {Robert E. Gompf},
journal= {arXiv preprint arXiv:1603.05090},
year = {2017}
}
Comments
6 pages, 2 figures. To appear in Geometry and Topology (v3). Discussion of Question 1.6 (meridian twists and more general knots) updated. Other minor improvements