3 papers
math.SG2025
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…
math.SG2025
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…
math.SG2024
Selective Floer cohomology for contact vector fields
Dylan Cant, Igor UljareviÄ
This paper associates a persistence module to a contact vector field on the ideal boundary of a Liouville manifold. The persistence module measures the dynamics of on the r…