1923-2023, Centenaire de René Thom

Collection 1923-2023, Centenaire de René Thom

Organizer(s) Jean-Pierre Bourguignon (IHES)
Date(s) 20/09/2023 - 22/09/2023
linked URL https://indico.math.cnrs.fr/event/9880/
00:00:00 / 00:00:00
4 16

Broken/open book decompositions and generic dynamics of Reeb vector fields

By Ana Rechtman

Every non degenerate Reeb vector field on a closed 3-manifold is carried by a broken book decomposition. A broken book provides a system of transverses surfaces to the flow that allow to code the dynamics, allowing to prove several generic properties of Reeb vector fields. After explaining these results, I will present recent work on the existence of homoclinic orbits for Reeb vector fields. This is work in collaboration with V. Colin, P. Dehornoy and U. Hryniewicz.

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