Sep 20 – 22, 2023
Le Bois-Marie
Europe/Paris timezone

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

Sep 20, 2023, 2:20 PM
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette


Prof. Ana Rechtman (Univ. Grenoble-Alpes)


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.

Presentation materials