5 papers · 1 filter
Lower semi-continuity of Lagrangian volume
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel
We study lower semi-continuity properties of the volume, i.e., the surface area, of a closed Lagrangian manifold with respect to the Hofer- and -distance on a class of monotone…
Another look at the Hofer-Zehnder conjecture
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel
We give a different and simpler proof of a slightly modified (and weaker) variant of a recent theorem of Shelukhin extending Franks' "two-or-infinitely-many" theorem to Hamiltonian…
From pseudo-rotations to holomorphic curves via quantum Steenrod squares
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel
In the context of symplectic dynamics, pseudo-rotations are Hamiltonian diffeomorphisms with finite and minimal possible number of periodic orbits. These maps are of interest in bo…
Pseudo-rotations and holomorphic curves
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel
We prove a variant of the Chance-McDuff conjecture for pseudo-rotations: under certain additional conditions, a closed symplectic manifold which admits a Hamiltonian pseudo-rotatio…
On the iterated Hamiltonian Floer homology
Erman Cineli, Viktor L. Ginzburg
The focus of the paper is the behavior under iterations of the filtered and local Floer homology of a Hamiltonian on a symplectically aspherical manifold. The Floer homology of an…