A note on the capacities of Lagrangian $p$-sum
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912167769407488 |
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| author | Broćić, Filip |
| author_facet | Broćić, Filip |
| contents | In this short note, we construct an explicit embedding of the rescaling of the $p$-sum $K\oplus_p K^{\circ}$ of the centrally symmetric convex domain $K$ and its polar $K^{\circ}$ to the product $K \times K^{\circ}$. The rescaling constant is sharp in some cases. Additionally, we comment on the strong Viterbo conjecture for $K\oplus_p K^{\circ}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07709 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the capacities of Lagrangian $p$-sum Broćić, Filip Symplectic Geometry 53D05 In this short note, we construct an explicit embedding of the rescaling of the $p$-sum $K\oplus_p K^{\circ}$ of the centrally symmetric convex domain $K$ and its polar $K^{\circ}$ to the product $K \times K^{\circ}$. The rescaling constant is sharp in some cases. Additionally, we comment on the strong Viterbo conjecture for $K\oplus_p K^{\circ}$. |
| title | A note on the capacities of Lagrangian $p$-sum |
| topic | Symplectic Geometry 53D05 |
| url | https://arxiv.org/abs/2402.07709 |