2 citations · 5 across the 4 of their papers we have counts for
14 papers
Energy capacity inequalities via an action selector
Urs Frauenfelder, Viktor Ginzburg, Felix Schlenk
An action selector associates, in a suitable way, to each compactly supported Hamiltonian on a symplectic manifold an action value of the Hamiltonian. Action selectors are known to…
The Weinstein conjecture and the theorems of nearby and almost existence
Viktor L. Ginzburg
The Weinstein conjecture, as the general existence problem for periodic orbits of Hamiltonian or Reeb flows, has been among the central questions in symplectic topology for over tw…
Relative Hofer-Zehnder capacity and periodic orbits in twisted cotangent bundles
Viktor L. Ginzburg, Basak Z. Gurel
The main theme of this paper is a relative version of the almost existence theorem for periodic orbits of autonomous Hamiltonian systems. We show that almost all low levels of a fu…
Symplectic homology and periodic orbits near symplectic submanifolds
Kai Cieliebak, Viktor L. Ginzburg, Ely Kerman
We show that a small neighborhood of a closed symplectic submanifold in a geometrically bounded aspherical symplectic manifold has non-vanishing symplectic homology. As a consequen…
A C^2-smooth counterexample to the Hamiltonian Seifert conjecture in R^4
Viktor L. Ginzburg, Basak Z. Gurel
We give a detailed construction of a proper C^2-smooth function on R^4 such that its Hamiltonian flow has no periodic orbits on at least one regular level set. This result can be v…
On the construction of a C^2-counterexample to the Hamiltonian Seifert Conjecture in R^4
Viktor L. Ginzburg, Basak Z. Gurel
We outline the construction of a proper C^2-smooth function on R^4 such that its Hamiltonian flow has no periodic orbits on at least one regular level set. This result can be viewe…