Exotic Dehn twists and homotopy coherent group actions
Abstract 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.
Authors
- JungHwan Park (ORCID: https://orcid.org/0000-0001-5578-5616)
- M. Taniguchi (ORCID: https://orcid.org/0000-0002-7822-0527)
- Sungkyung Kang
Institutions
- Korea Advanced Institute of Science and Technology (KR)
- Kyoto University (JP)
- University of Cambridge (GB)
- National Institute for Mathematical Sciences (KR)
Publication Details
- Journal
- Inventiones mathematicae
- Published
- 2025-10-10
- DOI
- https://doi.org/10.1007/s00222-025-01378-1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Samsung Science and Technology Foundation
- Samsung
- Japan Society for the Promotion of Science
- RIKEN