Existence of generating families on Lagrangian cobordisms
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913391488008192 |
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| author | Li, Wenyuan |
| author_facet | Li, Wenyuan |
| contents | For an embedded exact Lagrangian cobordism between Legendrian submanifolds in the 1-jet bundle, we prove that a generating family linear at infinity on the Legendrian at the negative end extends to a generating family linear at infinity on the Lagrangian cobordism after stabilization if and only if the formal obstructions vanish. In particular, a Lagrangian filling with trivial stable Lagrangian Gauss map admits a generating family linear at infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_05727 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Existence of generating families on Lagrangian cobordisms Li, Wenyuan Symplectic Geometry Geometric Topology For an embedded exact Lagrangian cobordism between Legendrian submanifolds in the 1-jet bundle, we prove that a generating family linear at infinity on the Legendrian at the negative end extends to a generating family linear at infinity on the Lagrangian cobordism after stabilization if and only if the formal obstructions vanish. In particular, a Lagrangian filling with trivial stable Lagrangian Gauss map admits a generating family linear at infinity. |
| title | Existence of generating families on Lagrangian cobordisms |
| topic | Symplectic Geometry Geometric Topology |
| url | https://arxiv.org/abs/2308.05727 |