Rigidity of Codimension One Higher Rank Actions
De Juan Camilo Arosemena Serrato
Critical regularity for nilpotent group actions in dimension one
De Victor Kleptsyn
De Andres Navas
Apparaît dans la 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.
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