Positive scalar curvature and 10/8-type inequalities on 4-manifolds with periodic ends

• 成果类型: Article
• 署名作者: Konno, Hokuto; Taniguchi, Masaki
• 署名单位: University of Tokyo; RIKEN
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-020-00979-2
• 发表日期: 2020
• 页码: 833-880
• 关键词: simply connected manifolds; seiberg-witten equations; intersection forms; gauge-theory; HOMOLOGY

摘要

We show 10/8-type inequalities for some end-periodic 4-manifolds which have positive scalar curvature metrics on the ends. As an application, we construct a new family of closed 4-manifolds which do not admit positive scalar curvature metrics.