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...
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| Main Authors: | , , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
12 Nov 2018
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| In: |
Arxiv
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| Online Access: | Verlag, Volltext: https://arxiv.org/abs/1804.07129v2
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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 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. |
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| Item Description: | Gesehen am 12.07.2022 |
| Physical Description: | Online Resource |