8 citations · 22 across the 8 of their papers we have counts for
13 papers
Quantitative symplectic geometry
K. Cieliebak, H. Hofer, J. Latschev +1
While symplectic manifolds have no local invariants, they do admit many global numerical invariants. Prominent among them are the so-called symplectic capacities. Different capacit…
Fiberwise volume growth via Lagrangian intersections
Urs Frauenfelder, Felix Schlenk
We consider Hamiltonian diffeomorphisms of the unit cotangent bundle over a closed Riemannian manifold which extend to Hamiltonian diffeomorphisms of equal to th…
Packing symplectic manifolds by hand
Felix Schlenk
We construct explicit maximal symplectic packings of minimal rational and ruled symplectic 4-manifolds by few balls in a very simple way.
Slow entropy and symplectomorphisms of cotangent bundles
Urs Frauenfelder, Felix Schlenk
We consider an entropy-type invariant which measures the polynomial volume growth of submanifolds under the iterates of a map, and we establish sharp uniform lower bounds of this i…
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…
A refinement of the Hofer-Zehnder theorem on the existence of closed trajectories near a hypersurface
Leonardo Macarini, Felix Schlenk
The Hofer-Zehnder theorem states that almost every hypersurface in a thickening of a hypersurface in a symplectic manifold carries a closed characteristic provided that…