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 -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 - -...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2022
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| In: |
Ergodic theory and dynamical systems
Year: 2022, Volume: 42, Issue: 2, Pages: 402-436 |
| ISSN: | 1469-4417 |
| DOI: | 10.1017/etds.2021.15 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1017/etds.2021.15 Verlag, lizenzpflichtig, Volltext: https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/pseudorotations-of-the-2-disc-and-reeb-flows-on-the-3-sphere/C7EACC551DAEDD914F0A295D3EFB25DB 
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| Author Notes: | Peter Albers, Hansjörg Geiges, and Kai Zehmisch |
| Summary: | We use Lerman’s contact cut construction to find a sufficient condition for Hamiltonian diffeomorphisms of compact surfaces to embed into a closed -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 - -disc constructed by Fayad and Katok embed into the Reeb flow of a dynamically convex contact form on the - -sphere. |
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| Item Description: | Published online by Cambridge University Press: 18 March 2021 Gesehen am 12.07.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1469-4417 |
| DOI: | 10.1017/etds.2021.15 |