On the spectral diameter of the Grassmannians
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911334804750336 |
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| author | Alizadeh, Habib Atallah, Marcelo S. Cant, Dylan Shang, Jianqiao |
| author_facet | Alizadeh, Habib Atallah, Marcelo S. Cant, Dylan Shang, Jianqiao |
| contents | 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 $k<n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20125 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the spectral diameter of the Grassmannians Alizadeh, Habib Atallah, Marcelo S. Cant, Dylan Shang, Jianqiao Symplectic Geometry 53Dxx, 14M15 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 $k<n$. |
| title | On the spectral diameter of the Grassmannians |
| topic | Symplectic Geometry 53Dxx, 14M15 |
| url | https://arxiv.org/abs/2512.20125 |