On the Lagrangian Hofer geometry of Clifford tori
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916879872819200 |
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| author | Zapolsky, Frol |
| author_facet | Zapolsky, Frol |
| contents | We show that the space of Lagrangians which are Hamiltonian isotopic to the Clifford torus in a complex projective space or in the four-dimensional quadric, taken with Chekanov's Lagrangian Hofer metric, contains a quasi-isometric copy of the real line, and in particular has infinite diameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02501 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Lagrangian Hofer geometry of Clifford tori Zapolsky, Frol Symplectic Geometry 53D99 We show that the space of Lagrangians which are Hamiltonian isotopic to the Clifford torus in a complex projective space or in the four-dimensional quadric, taken with Chekanov's Lagrangian Hofer metric, contains a quasi-isometric copy of the real line, and in particular has infinite diameter. |
| title | On the Lagrangian Hofer geometry of Clifford tori |
| topic | Symplectic Geometry 53D99 |
| url | https://arxiv.org/abs/2508.02501 |