Symplectic polarity and Mahler's conjecture
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866912738435923968 |
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| author | Berezovik, Mark Karasev, Roman |
| author_facet | Berezovik, Mark Karasev, Roman |
| contents | We state a conjecture about the volume of symplectically self-polar convex bodies and show that it is equivalent to Mahler's conjecture concerning the volume of a convex body and its Euclidean polar. We also establish lower and upper bounds for symplectic capacities of symplectically self-polar bodies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_14630 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Symplectic polarity and Mahler's conjecture Berezovik, Mark Karasev, Roman Metric Geometry Symplectic Geometry 52B60, 53D99, 37J10 We state a conjecture about the volume of symplectically self-polar convex bodies and show that it is equivalent to Mahler's conjecture concerning the volume of a convex body and its Euclidean polar. We also establish lower and upper bounds for symplectic capacities of symplectically self-polar bodies. |
| title | Symplectic polarity and Mahler's conjecture |
| topic | Metric Geometry Symplectic Geometry 52B60, 53D99, 37J10 |
| url | https://arxiv.org/abs/2211.14630 |