3 papers
math.SG2025
Flexibility of the Hamiltonian adjoint action and classification of bi-invariant metrics
Lev Buhovsky, Maksim StokiÄ
On an open, connected symplectic manifold , the group of Hamiltonian diffeomorphisms forms an infinite-dimensional Fréchet Lie group with Lie algebra and…
math.SG2025
A dichotomy for the Hofer growth of area preserving maps on the sphere via symmetrization
Lev Buhovsky, Ben Feuerstein, Leonid Polterovich +1
We prove that autonomous Hamiltonian flows on the two-sphere exhibit the following dichotomy: the Hofer norm either grows linearly or is bounded in time by a universal constant C.…
math.SG2024
Flexibility of the adjoint action of the group of Hamiltonian diffeomorphisms
Lev Buhovsky, Maksim StokiÄ
On a closed and connected symplectic manifold, the group of Hamiltonian diffeomorphisms has the structure of an infinite-dimensional Fréchet Lie group, where the Lie algebra is na…