3 papers
math.SG2025
On the spectral diameter of the Grassmannians
Habib Alizadeh, Marcelo S. Atallah, Dylan Cant +1
The diameter of the spectral pseudometric on the universal cover of the Hamiltonian diffeomorphism group of is shown to be finite whenever is a prime number.…
math.SG2024
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…
math.SG2023
Lagrangian Intersections and the spectral norm in convex-at-infinity symplectic manifolds
Habib Alizadeh, Marcelo S. Atallah, Dylan Cant
Given a compact Lagrangian in a semipositive convex-at-infinity symplectic manifold , we establish a cup-length estimate for the action values of associated to a Hamilto…