5 papers · 1 filter
Equivariant Floer cohomology for contactomorphisms of quotient spaces
Dylan Cant, Eric Kilgore, Jun Zhang
This paper establishes the orderability of contact manifolds which are quotients of fillable contact manifolds under finite group actions compatible with the filling, the prototypi…
Geometry and dynamics on Liouville domains in
Jun Zhang, Antong Zhu
Parallel to the study of toric domains, symplectically convex, and dynamically convex domains in , we build an analogous framework and corresponding su…
Quantitative contact Hamiltonian dynamics
Danijel DjordjeviÄ, Igor UljareviÄ, Jun Zhang
This paper presents a systematic quantitative study of contact rigidity phenomena based on the contact Hamiltonian Floer theory established by Merry-UljareviÄ. Our quantitative ap…
Contact quasi-states and their applications
Igor UljareviÄ, Jun Zhang
We introduce the notions of partial contact quasi-state and contact quasi-measure. Using the contact spectral invariant from the work by DjordjeviÄ-UljareviÄ-Zhang, one can const…
On the spectral capacity of submanifolds
Dylan Cant, Jun Zhang
The infimum of the spectral capacities of neighbourhoods of a nowhere coisotropic submanifold is shown to be zero. In contrast, neighbourhoods of a closed Lagrangian submanifold, a…