Exotic Dehn twists and homotopy coherent group actions

• 成果类型: Article; Early Access
• 署名作者: Kang, Sungkyung; Park, Junghwan; Taniguchi, Masaki
• 署名单位: University of Cambridge; Korea Advanced Institute of Science & Technology (KAIST); Kyoto University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-025-01378-1
• 发表日期: 2025
• 关键词: seiberg-witten invariants; bauer-furuta; families; HOMOLOGY; 4-manifolds; systems; isotopy; k3

摘要

We consider the question of extending a smooth homotopy coherent finite cyclic group action on the boundary of a smooth 4-manifold to its interior. As a result, we prove that Dehn twists along any Seifert homology sphere, except the 3-sphere, on their simply connected positive-definite fillings are infinite order exotic.