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) …

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 …

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 …

We prove a contact non-squeezing phenomenon on homotopy spheres that are fillable by
Liouville domains with large symplectic homology: there exists a smoothly embedded ball in …

This paper associates a persistence module to a contact vector field $ X $ on the ideal
boundary of a Liouville manifold. The persistence module measures the dynamics of $ X …