48 citations · 205 across the 35 of their papers we have counts for
42 papers
An -principle for embeddings transverse to a contact structure
Robert Cardona, Francisco Presas
Given a class of embeddings into a contact or a symplectic manifold, we give a sufficient condition, that we call isocontact or isosymplectic realization, for this class to satisfy…
Symplectic embeddings of 4-manifolds via Lefschetz fibrations
Dishant M. Pancholi, Francisco Presas
In this article we study proper symplectic and iso-symplectic embeddings of --manifolds in --manifolds. We show that a closed orientable smooth --manifold admitting a Lefs…
Constructing Turing complete Euler flows in dimension
Robert Cardona, Eva Miranda, Daniel Peralta-Salas +1
Can every physical system simulate any Turing machine? This is a classical problem which is intimately connected with the undecidability of certain physical phenomena. Concerning f…
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 …
Universality of Euler flows and flexibility of Reeb embeddings
Robert Cardona, Eva Miranda, Daniel Peralta-Salas +1
The dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. Recently, Tao launched a programme to address the global exis…
The Legendrian Whitney trick
Roger Casals, Dishant M. Pancholi, Francisco Presas
In this article, we prove a Legendrian Whitney trick which allows for the removal of intersections between codimension-two contact submanifolds and Legendrian submanifolds, assumin…