Exotic Dehn twists and homotopy coherent group actions
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909326914879488 |
|---|---|
| author | Kang, Sungkyung Park, JungHwan Taniguchi, Masaki |
| author_facet | Kang, Sungkyung Park, JungHwan Taniguchi, Masaki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11806 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exotic Dehn twists and homotopy coherent group actions Kang, Sungkyung Park, JungHwan Taniguchi, Masaki Geometric Topology 57K41, 57R85, 57R50 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. |
| title | Exotic Dehn twists and homotopy coherent group actions |
| topic | Geometric Topology 57K41, 57R85, 57R50 |
| url | https://arxiv.org/abs/2409.11806 |