A Counterexample to Viterbo's Conjecture
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915628810502144 |
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| author | Haim-Kislev, Pazit Ostrover, Yaron |
| author_facet | Haim-Kislev, Pazit Ostrover, Yaron |
| contents | We present a counterexample to Viterbo's volume-capacity conjecture. This implies, in particular, that in contrast with a well-known conjecture, symplectic capacities do not coincide on the class of convex domains in the classical phase space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_16513 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Counterexample to Viterbo's Conjecture Haim-Kislev, Pazit Ostrover, Yaron Symplectic Geometry Metric Geometry 53D05, 52A40 We present a counterexample to Viterbo's volume-capacity conjecture. This implies, in particular, that in contrast with a well-known conjecture, symplectic capacities do not coincide on the class of convex domains in the classical phase space. |
| title | A Counterexample to Viterbo's Conjecture |
| topic | Symplectic Geometry Metric Geometry 53D05, 52A40 |
| url | https://arxiv.org/abs/2405.16513 |