Abstract
We construct, for any given positive integer , Reeb flows on contact integral homology 3-spheres which do not admit global surfaces of section with fewer than boundary components. We use a connected sum operation for open books to construct such systems. Moreover, we prove that this property is stable with respect to -small perturbations of the Hamiltonian given on the symplectization.
Citation
Juno Kim. Yonghwan Kim. Otto van Koert. "Reeb flows without simple global surfaces of section." Involve 15 (5) 813 - 842, 2022. https://doi.org/10.2140/involve.2022.15.813
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