On the topology of loops of contactomorphisms and Legendrians in non-orderable manifolds

Luis Hernández-Corbato, Javier Martínez-Aguinaga

We study the global topology of the space $\mathcal{L}$ of loops of contactomorphisms of a non-orderable closed contact manifold $(M^{2n+1},\alpha )$. We filter $\mathcal{L}$ by a quantit…