Pseudorotations of the 2-disc and Reeb flows on the 3-sphere
We use Lerman's contact cut construction to find a sufficient condition for Hamiltonian diffeomorphisms of compact surfaces to embed into a closed 3-manifold as Poincaré return maps on a global surface of section for a Reeb flow. In particular, we show that the irrational pseudorotations of th...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
12 Nov 2018
|
| In: |
Arxiv
|
| Online-Zugang: | Verlag, Volltext: https://arxiv.org/abs/1804.07129v2
|
| Verfasserangaben: | Peter Albers, Hansjörg Geiges, and Kai Zehmisch |
| Zusammenfassung: | We use Lerman's contact cut construction to find a sufficient condition for Hamiltonian diffeomorphisms of compact surfaces to embed into a closed 3-manifold as Poincaré return maps on a global surface of section for a Reeb flow. In particular, we show that the irrational pseudorotations of the 2-disc constructed by Fayad-Katok embed into the Reeb flow of a dynamically convex contact form on the 3-sphere. |
|---|---|
| Beschreibung: | Gesehen am 12.07.2022 |
| Beschreibung: | Online Resource |