The Conway knot is not slice

• 成果类型: Article
• 署名作者: Piccirillo, Lisa
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2020.191.2.5
• 发表日期: 2020
• 页码: 581-591
• 关键词: mutation

摘要

A knot is said to be slice if it bounds a smooth properly embedded disk in B-4. We demonstrate that the Conway knot is not slice. This completes the classification of slice knots under 13 crossings and gives the first example of a non-slice knot which is both topologically slice and a positive mutant of a slice knot.