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math.SG2022★ 1 cited
Exotic Dehn twists on sums of two contact 3-manifolds
Eduardo Fernández, Juan Muñoz-Echániz
We exhibit the first examples of exotic contactomorphisms with infinite order as elements of the contact mapping class group. These are given by certain Dehn twists on the separati…
math.SG2021★ 1 cited
A monopole invariant for families of contact structures
Juan Muñoz-Echániz
We use monopole Floer homology to study the topology of the space of contact structures on a 3-manifold. Our main tool is a generalisation of the Kronheimer--Mrowka--Ozsváth--Szabó…