The topology of a subspace of the Legendrian curves on a closed contact 3-manifold

none2siIn this paper we study a subspace of the space of Legendrian loops and we show that the injection of this space into the full loop space is an $S^{1}$-equivariant homotopy equivalence. This space can be also seen as the space of zero Maslov index Legendrian loops and it shows up as a suitable space of variations in contact form geometry.noneAli Maalaoui; Vittorio MartinoAli Maalaoui; Vittorio Martin