Giroux 60 - Convexity in contact and symplectic topology

Collection Giroux 60 - Convexity in contact and symplectic topology

Organizer(s) Colin, Vincent ; Courte, Sylvain ; Eynard-Bontemps, Hélène ; Massot, Patrick ; Seyfaddini, Sobhan

Date(s) 04/08/2022 - 08/08/2022

linked URL https://indico.math.cnrs.fr/event/5788/

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Almost all Reeb vector fields admit a Birkhoff section

By Ana Rechtman

A Birkhoff section reduces the study of a non-singular flow in 3D to that of a surface diffeomorphism and provides a rational open book carrying the flow. I will present a recent existence statement for Birkhoff sections: the set of a Reeb vector fields on closed 3-manifolds that admit a Birkhoff section contains an open and dense subset in the 𝐶∞ topology. This construction is based on the existence of broken book decompositions and is part of a joint work with Vincent Colin, Pierre Dehornoy and Umberto Hryniewicz.

Information about the video

Date of publication 10/11/2023
Institution IHP
Language English
Format MP4

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