Corks and automorphisms of 3-manifolds
Geometric Topology
2019-12-30 v2
Abstract
We investigate two specific contractible manifolds (one Stein, and the other non-Stein) whose boundaries have non-trivial mapping class groups. In both cases we show that every diffeomorphism of their boundary extends to a diffeomorphism of the full manifold. In particular, these manifolds cannot be corks. The methods are a mix of 3 and 4-manifold techniques.
Cite
@article{arxiv.1809.05765,
title = {Corks and automorphisms of 3-manifolds},
author = {Selman Akbulut and Daniel Ruberman},
journal= {arXiv preprint arXiv:1809.05765},
year = {2019}
}
Comments
An error find in one of the theorems