2021 - T2 - Symplectic topology, contact topology and interactions

Collection 2021 - T2 - Symplectic topology, contact topology and interactions

Organizer(s) Colin, Vincent ; Humilière, Vincent ; Massot, Patrick ; Niederkrüger, Klaus ; Oancea, Alexandru ; Vaugon, Anne

Date(s) 19/04/2021 - 16/07/2021

linked URL https://indico.math.cnrs.fr/event/5767/

32 45

Almost all Reeb vector fields admit a Birkhoff section

By Ana Rechtman

Also appears in collection : Giroux 60 - Convexity in contact and symplectic topology

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
Licence CC BY-NC-ND
Language English
Format MP4

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