Cappell-Shaneson homotopy spheres are standard
Geometric Topology
2009-10-29 v3 Algebraic Topology
Abstract
We show that an infinite sequence of homotopy 4-spheres constructed by Cappell-Shaneson are all diffeomorphic to S^4. This generalizes previous results of Akbulut-Kirby and Gompf.
Cite
@article{arxiv.0907.0136,
title = {Cappell-Shaneson homotopy spheres are standard},
author = {Selman Akbulut},
journal= {arXiv preprint arXiv:0907.0136},
year = {2009}
}
Comments
5 pages, 4 figures. A minor correction, a reference and a remark added, to appear in Annals of Mathematics