We show that contact reductions can be described in terms of symplectic reductions in the
traditional Marsden–Weinstein–Meyer as well as the constant rank picture. The point is that …

We construct non-compact contact manifolds containing compact Legendrians which can be
displaced from their Reeb flow with arbitrarily small oscillation energy. We use this to show …

We study the notion of orderability of isotopy classes of Legendrian submanifolds and their
universal covers, with some weaker results concerning spaces of contactomorphisms. Our …

We show that if the image of a Legendrian submanifold under a contact homeomorphism (ie
a homeomorphism that is a $ C^ 0$-limit of contactomorphisms) is smooth then it is …

We relate non-orderability in contact topology to shortening in the contact Hofer norm.
Combined with considerations of open books, this provides many new examples of non …

We give a quantitative refinement of the invariance of the Legendrian contact homology
algebra in general contact manifolds. We show that in this general case, the Lagrangian …

We show that the image of a Legendrian submanifold under a homeomorphism that is the $
C^ 0$-limit of a sequence of contactomorphisms is again Legendrian, if the image of the …

An important tool to analyse the causal structure of a Lorentzian manifold is given by the
Lorentzian distance function. We define a class of Lorentzian distance functions on the …

We study sequences of immersions respecting bounds coming from Riemannian geometry
and apply the ensuing results to the study of sequences of submanifolds of symplectic and …

Laudenbach and Sikorav proved that closed, half-dimensional non-Lagrangian
submanifolds of symplectic manifolds are immediately displaceable as long as there is no …