7 citations · 7 across the 3 of their papers we have counts for
5 papers · 1 filter
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…
On two remarkable groups of area-preserving homeomorphisms
Lev Buhovsky
We prove that on a symplectic sphere, the group of Hamiltonian homeomorphisms in the sense of Oh and Müller is a proper normal subgroup of the group of finite energy Hamiltonian ho…
Quantitative -principle in symplectic geometry
Lev Buhovsky, Emmanuel Opshtein
We prove a quantitative -principle statement for subcritical isotropic embeddings. As an application, we construct a symplectic homeomorphism that takes a symplectic disc into a…
An Arnold-type principle for non-smooth objects
Lev Buhovsky, Vincent Humilière, Sobhan Seyfaddini
In this article we study the Arnold conjecture in settings where objects under consideration are no longer smooth but only continuous. The example of a Hamiltonian homeomorphism, o…
Quantitative -principle for isotropic embeddings and applications to -symplectic geometry
Lev Buhovsky, Jaime Bustillo, Emmanuel Opshtein
We prove here a quantitative -principle statement that applies to isotropic embeddings of discs. We then apply it to get -flexibility and rigidity results in symplectic geo…