Surfaces of section for Seifert fibrations
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2021
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910296499552256 |
|---|---|
| author | Albach, Bernhard Geiges, Hansjörg |
| author_facet | Albach, Bernhard Geiges, Hansjörg |
| contents | We classify global surfaces of section for flows on 3-manifolds defining Seifert fibrations. We discuss branched coverings -- one way or the other -- between surfaces of section for the Hopf flow and those for any other Seifert fibration of the 3-sphere, and we relate these surfaces of section to algebraic curves in weighted complex projective planes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_08142 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Surfaces of section for Seifert fibrations Albach, Bernhard Geiges, Hansjörg Geometric Topology Dynamical Systems Symplectic Geometry 57R30, 14H50, 30F99, 37J39, 57M12 We classify global surfaces of section for flows on 3-manifolds defining Seifert fibrations. We discuss branched coverings -- one way or the other -- between surfaces of section for the Hopf flow and those for any other Seifert fibration of the 3-sphere, and we relate these surfaces of section to algebraic curves in weighted complex projective planes. |
| title | Surfaces of section for Seifert fibrations |
| topic | Geometric Topology Dynamical Systems Symplectic Geometry 57R30, 14H50, 30F99, 37J39, 57M12 |
| url | https://arxiv.org/abs/2102.08142 |