Cappell-Shaneson homotopy spheres are standard

• 成果类型: Article
• 署名作者: Akbulut, Selman
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• 发表日期: 2010
• 页码: 2171-2175
• 关键词: andrews-curtis

摘要

We show here 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.