On the manifold structure of the set of unparameterized embeddings with low regularity

Abstract

Given manifolds $M$ and $N$, with $M$ compact, we study the geometrical structure of the space of embeddings of $M$ into $N$, having less regularity than ${\mathcal{C}}^{\infty }$, quotiented by the group of diffeomorphisms of $M$.

To appear in the Bulletin of the Brazilian Mathematical Society