(Arc-)connectedness for the space of ${\mathbb{Z}}^d$-actions by $C^2$ diffeomorphisms on 1-dimensional manifolds

Hélène Eynard-Bontemps, Andrés Navas

We deal with the general problem of connectedness for the space of ${\mathbb{Z}}^d$ actions by (orientation-preserving) diffeomorphisms of a compact 1-manifold. We prove two results.…