Higher order corks

• 成果类型: Article
• 署名作者: Melvin, Paul; Schwartz, Hannah
• 署名单位: Bryn Mawr College; Princeton University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-020-01009-x
• 发表日期: 2021
• 页码: 291-313
• 关键词: decomposition; 4-manifolds; THEOREM

摘要

It is shown that any finite list of smooth closed simply-connected 4-manifolds homeomorphic to a given oneXcan be obtained by removing a single compact contractible submanifold (orcork) fromX, and then regluing it by powers of a boundary diffeomorphism. We then use this result to 'separate' finite families of corks embedded in a fixed 4-manifold.