9 papers
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 sub…
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…
Quantitative contact Hamiltonian dynamics
Danijel Djordjević, Igor Uljarević, Jun Zhang
This paper presents a systematic quantitative study of contact rigidity phenomena based on the contact Hamiltonian Floer theory established by Merry-Uljarević. Our quantitative app…
Contact quasi-states and their applications
Igor Uljarević, Jun Zhang
We introduce the notions of partial contact quasi-state and contact quasi-measure. Using the contact spectral invariant from the work by Djordjević-Uljarević-Zhang, one can constru…
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…
Some Computational Results on Koszul-Vinberg Cochain Complexes
Hanwen Liu, Jun Zhang
An affine connection is said to be flat if its curvature tensor vanishes identically. Koszul-Vinberg (KV for abbreviation) cohomology has been invoked to study the deformation theo…
Strong Arnold chord conjecture via normalized capacities
Jungsoo Kang, Jun Zhang
We show that every dynamically convex toric domain in admits a -neighborhood within the space of star-shaped domains of with the follo…
Quantitative characterization in contact Hamiltonian dynamics -- I
Danijel Djordjević, Igor Uljarević, Jun Zhang
Based on the contact Hamiltonian Floer theory established by Will J. Merry and the second author that applies to any admissible contact Hamiltonian system , wher…