2024 - T2 - WS1 - Low dimensional actions

Collection 2024 - T2 - WS1 - Low dimensional actions

Organizer(s) Fisher, David ; Hensel, Sebastian ; Mann, Kathryn ; Rivas, Cristobal ; Triestino, Michele
Date(s) 29/04/2024 - 04/05/2024
linked URL https://indico.math.cnrs.fr/event/9044/
9 21

Deformation of actions of $\mathbb{Z}^2$ on the interval (and the circle)

By Hélène Eynard-Bontemps

Can any pair of commuting diffeomorphisms of a compact 1D manifold be connected to the trivial pair (id,id) via a path of such pairs ? This question plays an important role in the classification of foliations of 3-manifolds by surfaces. It can be asked in any differentiability class, and we will see that the phenomena at play and the techniques involved to answer it highly depend on the regularity, focussing on a new result in the intermediate regularity $C^{1+ac}$ (where « ac » stands for « absolutely continuous).

Joint with Andrés Navas.

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Citation data

  • DOI 10.57987/IHP.2024.T2.WS1.009
  • Cite this video Eynard-Bontemps, Hélène (30/04/2024). Deformation of actions of $\mathbb{Z}^2$ on the interval (and the circle). IHP. Audiovisual resource. DOI: 10.57987/IHP.2024.T2.WS1.009
  • URL https://dx.doi.org/10.57987/IHP.2024.T2.WS1.009

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