4 citations · 4 across the 9 of their papers we have counts for
3 papers · 1 filter
Weinstein exactness of nearby Lagrangians and related questions
Marcelo S. Atallah, Jean-Philippe Chassé, Rémi Leclercq +1
We address the following problem: if a Hamiltonian diffeomorphism maps a Lagrangian submanifold to a small Weinstein neighborhood of , is the image necessarily Hamiltonian i…
The number of periodic points of surface symplectic diffeomorphisms
Marcelo S. Atallah, Marta Batoréo, Brayan Ferreira
We use symplectic tools to establish a smooth variant of Franks theorem for a closed orientable surface of positive genus ; it implies that a symplectic diffeomorphism isotopic…
The spectral diameter of a symplectic ellipsoid
Habib Alizadeh, Marcelo S. Atallah, Dylan Cant
The spectral diameter of a symplectic ball is shown to be equal to its capacity; this result upgrades the known bound by a factor of two and yields a simple formula for the spectra…