Stabilized symplectic embeddings of higher-dimensional ellipsoids
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911445886697472 |
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| author | Faisal, Shah |
| author_facet | Faisal, Shah |
| contents | We provide a lower bound for the embedding capacity of higher-dimensional symplectic ellipsoids, formulated in terms of the Lagrangian capacity of ellipsoids. Our approach relies on examining the Borman--Sheridan class of a Weinstein neighborhood of a suitable monotone Lagrangian torus, using Tonkonog's string topology-based computation of the gravitational descendants of the torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08720 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stabilized symplectic embeddings of higher-dimensional ellipsoids Faisal, Shah Symplectic Geometry 53D05, 53D12, 53D45 We provide a lower bound for the embedding capacity of higher-dimensional symplectic ellipsoids, formulated in terms of the Lagrangian capacity of ellipsoids. Our approach relies on examining the Borman--Sheridan class of a Weinstein neighborhood of a suitable monotone Lagrangian torus, using Tonkonog's string topology-based computation of the gravitational descendants of the torus. |
| title | Stabilized symplectic embeddings of higher-dimensional ellipsoids |
| topic | Symplectic Geometry 53D05, 53D12, 53D45 |
| url | https://arxiv.org/abs/2512.08720 |