The Giroux correspondence in arbitrary dimensions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910503128793088 |
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| author | Breen, Joseph Honda, Ko Huang, Yang |
| author_facet | Breen, Joseph Honda, Ko Huang, Yang |
| contents | We establish the Giroux correspondence in arbitrary dimensions. As corollaries we (i) give an alternate proof of a result of Giroux-Pardon that states that any Weinstein domain is Weinstein homotopic to one which admits a Weinstein Lefschetz fibration and (ii) prove that any two Weinstein Lefschetz fibrations whose Weinstein domain structures are Weinstein homotopic are related by the Weinstein Lefschetz fibration moves, affirming a conjecture of Giroux-Pardon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_02317 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Giroux correspondence in arbitrary dimensions Breen, Joseph Honda, Ko Huang, Yang Symplectic Geometry 57R17 We establish the Giroux correspondence in arbitrary dimensions. As corollaries we (i) give an alternate proof of a result of Giroux-Pardon that states that any Weinstein domain is Weinstein homotopic to one which admits a Weinstein Lefschetz fibration and (ii) prove that any two Weinstein Lefschetz fibrations whose Weinstein domain structures are Weinstein homotopic are related by the Weinstein Lefschetz fibration moves, affirming a conjecture of Giroux-Pardon. |
| title | The Giroux correspondence in arbitrary dimensions |
| topic | Symplectic Geometry 57R17 |
| url | https://arxiv.org/abs/2307.02317 |