The (2,1)-cable of the figure-eight knot is not smoothly slice

• 成果类型: Article
• 署名作者: Dai, Irving; Kang, Sungkyung; Mallick, Abhishek; Park, Junghwan; Stoffregen, Matthew
• 署名单位: University of Texas System; University of Texas Austin; University of Oxford; Rutgers University System; Rutgers University New Brunswick; Korea Advanced Institute of Science & Technology (KAIST); Michigan State University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-024-01286-w
• 发表日期: 2024
• 页码: 371-390
• 关键词: HOLOMORPHIC DISKS; FLOER HOMOLOGY; LINEAR INDEPENDENCE; LINK COBORDISMS; INVARIANTS; CONCORDANCE

摘要

We prove that the (2,1)-cable of the figure-eight knot is not smoothly slice by showing that its branched double cover bounds no equivariant homology ball.