25 citations · 31 across the 6 of their papers we have counts for
3 papers · 1 filter
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory
Gabriel P. Paternain, Leonid Polterovich, Karl Friedrich Siburg
We consider Lagrangian submanifolds lying on a fiberwise strictly convex hypersurface in some cotangent bundle or, respectively, in the domain bounded by such a hypersurface. We es…
Calabi quasimorphism and quantum homology
Michael Entov, Leonid Polterovich
We prove that the group of area-preserving diffeomorphisms of the 2-sphere admits a non-trivial homogeneous quasimorphism to the real numbers with the following property. Its value…
A growth gap for diffeomorphisms of the interval
Leonid Polterovich, Mikhail Sodin
Given an orientation-preserving diffeomorphism of the interval [0;1], consider the uniform norm of the differential of its n-th iteration. We get a function of n called the growth…