Non-orderability and the contact Hofer norm
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916644009279488 |
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| author | Hedicke, Jakob Shelukhin, Egor |
| author_facet | Hedicke, Jakob Shelukhin, Egor |
| contents | We relate non-orderability in contact topology to shortening in the contact Hofer norm. Combined with considerations of open books, this provides many new examples of non-orderable contact manifolds, including contact boundaries of subcritical Weinstein domains, and in particular the long-standing case of the standard $S^1 \times S^2.$ We also produce new examples of contact manifolds admitting contactomorphisms without translated points, provide obstructions to subcritical polarizations of symplectic manifolds, and establish a $\mathcal{C}^0$-continuity property of the contact Hofer metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19887 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-orderability and the contact Hofer norm Hedicke, Jakob Shelukhin, Egor Symplectic Geometry 53D10, 53D35, 57R17 We relate non-orderability in contact topology to shortening in the contact Hofer norm. Combined with considerations of open books, this provides many new examples of non-orderable contact manifolds, including contact boundaries of subcritical Weinstein domains, and in particular the long-standing case of the standard $S^1 \times S^2.$ We also produce new examples of contact manifolds admitting contactomorphisms without translated points, provide obstructions to subcritical polarizations of symplectic manifolds, and establish a $\mathcal{C}^0$-continuity property of the contact Hofer metric. |
| title | Non-orderability and the contact Hofer norm |
| topic | Symplectic Geometry 53D10, 53D35, 57R17 |
| url | https://arxiv.org/abs/2411.19887 |