Symplectically self-polar polytopes of minimal capacity
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866918224885448704 |
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| author | Berezovik, Mark |
| author_facet | Berezovik, Mark |
| contents | In this paper we continue the study of symplectically self-polar convex bodies started in arXiv:2211.14630. We construct symplectically self-polar convex bodies of the minimal Ekeland-Hofer-Zehnder capacity. This in turn proves that the lower bound for the Ekeland-Hofer-Zehnder capacity for centrally symmetric convex bodies obtained in arXiv:1801.00242 cannot be improved. We also make some numerical experiments and speculations regarding the minimal volume of symplectically self-polar convex bodies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14998 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Symplectically self-polar polytopes of minimal capacity Berezovik, Mark Metric Geometry Symplectic Geometry 52B60, 53D99, 37J10 In this paper we continue the study of symplectically self-polar convex bodies started in arXiv:2211.14630. We construct symplectically self-polar convex bodies of the minimal Ekeland-Hofer-Zehnder capacity. This in turn proves that the lower bound for the Ekeland-Hofer-Zehnder capacity for centrally symmetric convex bodies obtained in arXiv:1801.00242 cannot be improved. We also make some numerical experiments and speculations regarding the minimal volume of symplectically self-polar convex bodies. |
| title | Symplectically self-polar polytopes of minimal capacity |
| topic | Metric Geometry Symplectic Geometry 52B60, 53D99, 37J10 |
| url | https://arxiv.org/abs/2310.14998 |