Dylan Cant

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On the spectral diameter of the Grassmannians

Habib Alizadeh, Marcelo S. Atallah, Dylan Cant, Jianqiao Shang

12-2025

Résumé:

The diameter of the spectral pseudometric on the universal cover of the Hamiltonian diffeomorphism group of $\mathrm{Gr}(2,p)$ is shown to be finite whenever $p$ is a prime number. On the other hand, it is shown that the diameter is infinite in the case of $\mathrm{Gr}(2k,2n)$ for all natural numbers $k<n$.

Liens:

• PDF
• arXiv:2512.20125
• BibTeX

  @misc{grassmannian,
    author        = {Habib Alizadeh and Marcelo S. Atallah and Dylan Cant and Jianqiao Shang},
    title         = {On the spectral diameter of the {Grassmannians}},
    year          = {2025},
    eprint        = {2512.20125},
    archivePrefix = {arXiv},
    primaryClass  = {math.SG},
  }