79 citations · 167 across the 8 of their papers we have counts for
4 papers · 1 filter
Spaces of tight contact structures in dimension 3
Eduardo Fernández, Javier Martínez-Aguinaga, Francisco Presas
We study spaces of tight contact structures and contactomorphism groups in dimension . We introduce a microfibration method for studying spaces of convex surfaces in contact …
A remark on the contactomorphism group of overtwisted contact spheres
Eduardo Fernández, Fabio Gironella
We show the existence of elements of infinite order in some homotopy groups of the contactomorphism group of overtwisted spheres. It follows in particular that the contactomorphism…
Loops of Legendrians in contact 3-manifolds
Eduardo Fernández, Javier Martínez-Aguinaga, Francisco Presas
We study homotopically non-trivial spheres of Legendrians in the standard contact R3 and S3. We prove that there is a homotopy injection of the contactomorphism group of S3 into so…
Fundamental groups of formal Legendrian and horizontal embedding spaces
Eduardo Fernández, Javier Martínez-Aguinaga, Francisco Presas
We compute the fundamental group of each connected component of the space of formal Legendrian embeddings in R3. We use it to show that previous examples in the literature of non t…