5 papers
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…
Biquantization of the necklace Lie bialgebra
Xiaojun Chen, Maozhou Huang, Meiliang Liu +1
For the double of a quiver, the works of Ginzburg, Bocklandt-Le Bruyn and Schedler show that its closed paths, called the necklaces, have a natural Lie bialgebra structure. Schedle…
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…