On the (path-)connectedness of the space of commuting diffeomorphisms of 1-manifolds

Appears in collection : 2024 - T2 - WS1 - Low Dimensional Actions

I will present the ideas and techniques of proof of a result in collaboration with Hélène Eynard-Bontemps: the space of commuting diffeomorphisms with absolute continuous derivartive of a compact 1-manifold is path connected. Several open questions will be addressed.

Information about the video

Date of recording 29/04/2024
Date of publication 29/04/2024
Institution IHP
Language English
Audience Researchers
Director(s) Mandarine Audiovisuel
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2024.T2.WS1.004
Cite this video Navas, Andres (29/04/2024). On the (path-)connectedness of the space of commuting diffeomorphisms of 1-manifolds. IHP. Audiovisual resource. DOI: 10.57987/IHP.2024.T2.WS1.004
URL https://dx.doi.org/10.57987/IHP.2024.T2.WS1.004

Domain(s)

Dynamical Systems

Bibliography

The space of $C^{1+ac}$ actions of $\mathbb{Z}^d$ on a one-dimensional manifold is path-connected / Hélène Eynard-Bontemps & Andrés Navas, with an appendix in collaboration with Théo Virot. arXiv:2306.17731