Liouville polarizations and the rigidity of their Lagrangian skeleta in dimension $4$
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914373449023488 |
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| author | Opshtein, Emmanuel Schlenk, Felix |
| author_facet | Opshtein, Emmanuel Schlenk, Felix |
| contents | The main theme of this paper is the introduction of a new type of polarizations, suited for some open symplectic manifolds, and their applications. These applications include symplectic embedding results that answer a question by Sackel-Song-Varolgunes-Zhu and Brendel, new Lagrangian non-removable intersections at small scales, and a novel phenomenon of Legendrian barriers in contact geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09408 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Liouville polarizations and the rigidity of their Lagrangian skeleta in dimension $4$ Opshtein, Emmanuel Schlenk, Felix Symplectic Geometry 53D05, 53D10, 53D12 The main theme of this paper is the introduction of a new type of polarizations, suited for some open symplectic manifolds, and their applications. These applications include symplectic embedding results that answer a question by Sackel-Song-Varolgunes-Zhu and Brendel, new Lagrangian non-removable intersections at small scales, and a novel phenomenon of Legendrian barriers in contact geometry. |
| title | Liouville polarizations and the rigidity of their Lagrangian skeleta in dimension $4$ |
| topic | Symplectic Geometry 53D05, 53D10, 53D12 |
| url | https://arxiv.org/abs/2407.09408 |