Cappell-Shaneson同伦球面是标准的
几何拓扑
2009-10-29 v3 代数拓扑
摘要
我们证明由Cappell-Shaneson构造的一个无限同伦4-球面序列都与S^4微分同胚。这推广了Akbulut-Kirby和Gompf之前的结果。
引用
@article{arxiv.0907.0136,
title = {Cappell-Shaneson homotopy spheres are standard},
author = {Selman Akbulut},
journal= {arXiv preprint arXiv:0907.0136},
year = {2009}
}
备注
5 pages, 4 figures. A minor correction, a reference and a remark added, to appear in Annals of Mathematics