Folded symplectic forms in contact topology
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | |
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| _version_ | 1866909232085860352 |
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| author | Breen, Joseph |
| author_facet | Breen, Joseph |
| contents | We establish the relationship between folded symplectic forms and convex hypersurface theory in contact topology. As an application, we use convex hypersurface theory to reprove and strengthen the existence result for folded symplectic forms due to Cannas da Silva, and we generalize to all even dimensions Baykur's $4$-dimensional existence result of folded Weinstein structures and folded Lefschetz fibrations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_16058 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Folded symplectic forms in contact topology Breen, Joseph Symplectic Geometry 53D10 (Primary) We establish the relationship between folded symplectic forms and convex hypersurface theory in contact topology. As an application, we use convex hypersurface theory to reprove and strengthen the existence result for folded symplectic forms due to Cannas da Silva, and we generalize to all even dimensions Baykur's $4$-dimensional existence result of folded Weinstein structures and folded Lefschetz fibrations. |
| title | Folded symplectic forms in contact topology |
| topic | Symplectic Geometry 53D10 (Primary) |
| url | https://arxiv.org/abs/2311.16058 |