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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.SG2025
-rigidity of the Hamiltonian diffeomorphism group of symplectic rational surfaces
Marcelo Atallah, Cheuk Yu Mak, Weiwei Wu
We investigate the -topology of the group of symplectic diffeomorphisms of positive symplectic rational surfaces. For all but a few exceptions, we prove that the group of Hami…