Legendrians with vanishing Shelukhin-Chekanov-Hofer metric
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917770926489600 |
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| author | Nakamura, Lukas |
| author_facet | Nakamura, Lukas |
| contents | We show that the Legendrian lift of an exact, displaceable Lagrangian has vanishing Shelukhin-Chekanov-Hofer pseudo-metric by lifting an argument due to Sikorav to the contactization. In particular, this proves the existence of such Legendrians, providing counterexamples to a conjecture of Rosen and Zhang. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_07575 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Legendrians with vanishing Shelukhin-Chekanov-Hofer metric Nakamura, Lukas Symplectic Geometry 53D10 We show that the Legendrian lift of an exact, displaceable Lagrangian has vanishing Shelukhin-Chekanov-Hofer pseudo-metric by lifting an argument due to Sikorav to the contactization. In particular, this proves the existence of such Legendrians, providing counterexamples to a conjecture of Rosen and Zhang. |
| title | Legendrians with vanishing Shelukhin-Chekanov-Hofer metric |
| topic | Symplectic Geometry 53D10 |
| url | https://arxiv.org/abs/2301.07575 |