7 citations · 9 across the 10 of their papers we have counts for
12 papers
Pseudo-holomorphic triangles and the median quasi-state
Pazit Haim-Kislev, Michael Khanevsky, Asaf Kislev +1
We prove that the minimal area of a holomorphic triangle whose boundary lies on the union of any three Lagrangian submanifolds is bounded from above by the Lagrangian spectral norm…
Hofer's distance between eggbeaters and autonomous Hamiltonian diffeomorphisms on surfaces
Michael Khanevsky
Let be a compact surface of genus equipped with an area form. We construct eggbeater Hamiltonian diffeomorphisms which lie arbitrarily far in the Hofer metric from t…
A gap in the Hofer metric between integrable and autonomous Hamiltonian diffeomorphisms on surfaces
Michael Khanevsky
Let be a compact surface equipped with an area form. There is an long standing open question by Katok, which, in particular, asks whether every entropy-zero Hamiltonian diffeom…
Curve obstruction for autonomous diffeomorphisms on surfaces
Michael Khanevsky
Consider a Hamiltonian diffeomorphism on a surface. We describe several scenarios where a curve and its image provide a simple evidence that is not autonomous.
-gap between entropy-zero Hamiltonians and autonomous diffeomorphisms of surfaces
Michael Brandenbursky, Michael Khanevsky
Let be a surface equipped with an area form. There is an long standing open question by Katok, which, in particular, asks whether every entropy-zero Hamiltonian diffeomorphism…
Quasimorphisms on surfaces and continuity in the Hofer norm
Michael Khanevsky
There is a number of known constructions of quasimorphisms on Hamiltonian groups. We show that on surfaces many of these quasimorphisms are not compatible with the Hofer norm in a…
Non-autonomous curves on surfaces
Michael Khanevsky
Consider a symplectic surface with two properly embedded Hamiltonian isotopic curves and . Suppose is a Hamiltonian diffeomorphism which sends to $L…
Hofer's length spectrum of symplectic surfaces
Michael Khanevsky
Following a question of F. Le Roux, we consider a system of invariants of a symplectic surface . These invariants compute the minimal Hof…
Hamiltonian commutators with large Hofer norm
Michael Khanevsky
We show that commutators of Hamiltonian diffeomorphisms may have arbitrarily large Hofer norm. The proposed technique is applicable to positive genus surfaces and their products. T…
Hofer's norm and disk translations in an annulus
Michael Khanevsky
Let D be a non-displaceable disk in an annulus A. Suppose that g is a compactly supported Hamiltonian which preserves D with translation number n. We show that Hofer's norm |g| is…
A relative Hofer estimate and the asymptotic Hofer-Lipschitz constant
Michael Khanevsky, Fabian Ziltener
Let be a symplectic manifold and an open subset. We study the natural inclusion of the compactly supported Hamiltonian group of in the compactly supporte…
A Floer-Gysin exact sequence for Lagrangian submanifolds
Paul Biran, Michael Khanevsky
In this paper we establish a Floer-theoretical analog of the classical Gysin long exact sequence from algebraic topology for circle bundles. We study algebraic and functorial prope…