Genericity of Birkhoff sections for Reeb flows in dimension three

Date: 2022-06-27

Time: 13:30 - 14:30

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Vincent Colin


In a joint work with Dehornoy and Rechtman, we proved that in dimension 3 every nondegenerate Reeb flow has a supporting broken book decomposition. Together with Hryniewicz, we exploit this result to show that a generic Reeb vector field has a Birkhoff section. Similarly, we obtain that having positive topological entropy is a generic property.