On Torelli groups and Dehn twists of smooth 4‐manifolds
Abstract:
This note has two related but independent parts. Firstly, we prove a generalisation of a recent result of Gay on the smooth mapping class group of 𝑆$^4$. Secondly, we give an alternative proof of a consequence of work of Saeki, namely that the Dehn twist along the boundary sphere of a simply connected closed smooth 4-manifold 𝑋 with 𝜕𝑋 ≅ 𝑆$^3$ is trivial after taking connected sums
with enough copies of 𝑆$^2$ × 𝑆$^2$.
with enough copies of 𝑆$^2$ × 𝑆$^2$.
| Zugehörige Institution(en) am KIT | Fakultät für Mathematik (MATH) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsmonat/-jahr | 03.2025 |
| Sprache | Englisch |
| Identifikator | ISSN: 0024-6093, 1469-2120 KITopen-ID: 1000178943 |
| Erschienen in | Bulletin of the London Mathematical Society |
| Verlag | John Wiley and Sons |
| Band | 57 |
| Heft | 3 |
| Seiten | 956–963 |
| Vorab online veröffentlicht am | 04.02.2025 |
| Nachgewiesen in | OpenAlex Web of Science Dimensions Scopus |
| Globale Ziele für nachhaltige Entwicklung |