This paper constructs a persistence module of Floer cohomology groups associated to a
contactomorphism of the ideal boundary of a Liouville manifold. The barcode (or, bottleneck) …

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 …

Based on the contact Hamiltonian Floer theory established by Will J. Merry and the second
author that applies to any admissible contact Hamiltonian system $(M,\xi=\ker\alpha, h) …

Let Y be a prequantization bundle over a closed spherically monotone symplectic manifold
Σ. Adapting an idea due to Diogo and Lisi, we study a split version of Rabinowitz Floer …

The symplectic cohomology of certain symplectic manifolds W with non-compact ends
modelled on the positive symplectization of a compact contact manifold Y is shown to vanish …

We study the contact Floer homology HF∗(W, h) introduced by Merry–Uljarević in, which
associates a Floer-type homology theory with a Liouville domain W and a contact …

This paper studies special classes in the symplectic cohomology of a semipositive and
convex-at-infinity symplectic manifold $ W $. The classes under consideration lie in the …

Since the groundbreaking work [33] by Eliashberg–Polterovich, the notion of orderability has
played an important role in the study of contact geometry. Recall that a contact manifold is …

This article is concerned with the Rabinowitz Floer homology of negative line bundles. We
construct a refined version of Rabinowitz Floer homology and study its properties. In …

We prove that some paths of contactomorphisms of R 2 n× S 1 endowed with its standard
contact structure are geodesics for different norms defined on the identity component of the …