Special Hamiltonian $S^1$-actions on symplectic 4-manifolds
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911351028318208 |
|---|---|
| author | Yau, Mei-Lin |
| author_facet | Yau, Mei-Lin |
| contents | In this paper we consider symplectic 4-manifolds $(M,ω)$ with $c_1(M,ω)=0$ which admit a Hamiltonian $S^1$-action together with an equivariant Maslov condition on orbits of the group action. We call such spaces {\em special Hamiltonian $S^1$-spaces}. It turns out that there are no compact special Hamiltonian $S^1$-spaces. We classify all exact special Hamiltonian $S^1$-spaces and show that all of them admit the structure of a Stein surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_00991 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Special Hamiltonian $S^1$-actions on symplectic 4-manifolds Yau, Mei-Lin Symplectic Geometry 53D20 (Primary), 53D35, 57S15, 53D12 (Secondary) In this paper we consider symplectic 4-manifolds $(M,ω)$ with $c_1(M,ω)=0$ which admit a Hamiltonian $S^1$-action together with an equivariant Maslov condition on orbits of the group action. We call such spaces {\em special Hamiltonian $S^1$-spaces}. It turns out that there are no compact special Hamiltonian $S^1$-spaces. We classify all exact special Hamiltonian $S^1$-spaces and show that all of them admit the structure of a Stein surface. |
| title | Special Hamiltonian $S^1$-actions on symplectic 4-manifolds |
| topic | Symplectic Geometry 53D20 (Primary), 53D35, 57S15, 53D12 (Secondary) |
| url | https://arxiv.org/abs/2212.00991 |