25 citations · 81 across the 17 of their papers we have counts for
23 papers
Hofer-continuous quasi-morphisms on Liouville manifolds
Frol Zapolsky
We show that, given a complete Liouville manifold, any homogeneous quasi-morphism on its Hamiltonian group, which satisfies a strengthened version of Hofer continuity called stabil…
On the Lagrangian Hofer geometry of Clifford tori
Frol Zapolsky
We show that the space of Lagrangians which are Hamiltonian isotopic to the Clifford torus in a complex projective space or in the four-dimensional quadric, taken with Chekanov's L…
Constraints on symplectic quasi-states
Adi Dickstein, Frol Zapolsky
We prove that given a closed connected symplectic manifold equipped with a Borel probability measure, an arbitrarily large portion of the measure can be covered by a symplectically…
Symplectic topology and ideal-valued measures
Adi Dickstein, Yaniv Ganor, Leonid Polterovich +1
We adapt Gromov's notion of ideal-valued measures to symplectic topology, and use it for proving new results on symplectic rigidity and symplectic intersections. Furthermore, it en…
Quasi-morphisms on contactomorphism groups and Grassmannians of 2-planes
Frol Zapolsky
We construct a natural prequantization space over a monotone product of a toric manifold and an arbitrary number of complex Grassmannians of 2-planes in even-dimensional complex sp…
Approximation of quasi-states on manifolds
Adi Dickstein, Frol Zapolsky
Quasi-states are certain not necessarily linear functionals on the space of continuous functions on a compact Hausdorff space. They were discovered as a part of an attempt to under…