38 citations · 92 across the 26 of their papers we have counts for
31 papers
Flexibility of the Hamiltonian adjoint action and classification of bi-invariant metrics
Lev Buhovsky, Maksim Stokić
On an open, connected symplectic manifold , the group of Hamiltonian diffeomorphisms forms an infinite-dimensional Fréchet Lie group with Lie algebra and a…
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.…
Persistent transcendental Bézout theorems
Lev Buhovsky, Iosif Polterovich, Leonid Polterovich +2
An example of Cornalba and Shiffman from 1972 disproves in dimension two or higher a classical prediction that the count of zeros of holomorphic self-mappings of the complex linear…
Flexibility of the adjoint action of the group of Hamiltonian diffeomorphisms
Lev Buhovsky, Maksim Stokić
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 nat…
A local-to-global inequality for spectral invariants and an energy dichotomy for Floer trajectories
Lev Buhovsky, Shira Tanny
We study a local-to-global inequality for spectral invariants of Hamiltonians whose supports have a ``large enough" tubular neighborhood on semipositive symplectic manifolds. In pa…
Coarse nodal count and topological persistence
Lev Buhovsky, Jordan Payette, Iosif Polterovich +3
Courant's theorem implies that the number of nodal domains of a Laplace eigenfunction is controlled by the corresponding eigenvalue. Over the years, there have been various attempt…