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/

00:00:00 / 00:00:00

36 45

The genus-one question for open book decomposition

By Pierre Dehornoy

In dimension 3, every contact structure is supported by an open book decomposition. When the structure is overtwisted one can strengthen the statement and have an OBD with genus-zero pages. For tight structures, there are many examples of OBD with genus-one pages, and Etnyre asked around 2006 whether it always exists. The question is still open. I will discuss a parallel and related question, for Anosov flows instead of contact structures. I will explain some constructions of genus-one OBD, and report on a partial result for OBD with genus-two pages (with the assistance of a computer).

Information about the video

Date of recording 11/06/2021
Date of publication 11/06/2021
Institution IHP
Language English
Audience Researchers
Format MP4

Domain(s)

Symplectic Geometry

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