Albers, Peter ORCID: 0000-0002-7324-0609, Geiges, Hansjoerg and Zehmisch, Kai ORCID: 0000-0002-9512-860X (2022). Pseudorotations of the 2-disc and Reeb flows on the 3-sphere. Ergod. Theory Dyn. Syst., 42 (2). S. 402 - 437. NEW YORK: CAMBRIDGE UNIV PRESS. ISSN 1469-4417

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Abstract

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 Poincare 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 and Katok embed into the Reeb flow of a dynamically convex contact form on the 3-sphere.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Albers, PeterUNSPECIFIEDorcid.org/0000-0002-7324-0609UNSPECIFIED
Geiges, HansjoergUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Zehmisch, KaiUNSPECIFIEDorcid.org/0000-0002-9512-860XUNSPECIFIED
URN: urn:nbn:de:hbz:38-672293
DOI: 10.1017/etds.2021.15
Journal or Publication Title: Ergod. Theory Dyn. Syst.
Volume: 42
Number: 2
Page Range: S. 402 - 437
Date: 2022
Publisher: CAMBRIDGE UNIV PRESS
Place of Publication: NEW YORK
ISSN: 1469-4417
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
DYNAMICS; THEOREMMultiple languages
Mathematics, Applied; MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/67229

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