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Reeb flows without simple global surfaces of section
We construct, for any given positive integer \(n\), Reeb flows on contact integral homology 3-spheres which do not admit global surfaces of section with fewer than \(n\) boundary components. We use a connected sum operation for open books to construct such systems. We prove that this property is sta...
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Published in: | arXiv.org 2022-07 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Online Access: | Get full text |
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Summary: | We construct, for any given positive integer \(n\), Reeb flows on contact integral homology 3-spheres which do not admit global surfaces of section with fewer than \(n\) boundary components. We use a connected sum operation for open books to construct such systems. We prove that this property is stable with respect to \(C^{4+\epsilon}\)-small perturbations of the Hamiltonian given on the symplectization. |
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ISSN: | 2331-8422 |
DOI: | 10.48550/arxiv.2104.03728 |