Bourgeois' contact manifolds are tight
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866913329053696000 |
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| author | Avdek, Russell Zhou, Zhengyi |
| author_facet | Avdek, Russell Zhou, Zhengyi |
| contents | We prove that Bourgeois' contact structures on $M \times \mathbb{T}^{2}$ determined by the supporting open books of a contact manifold $(M, ξ)$ are always tight. The proof is based on a contact homology computation leveraging holomorphic foliations and Kuranishi structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16311 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bourgeois' contact manifolds are tight Avdek, Russell Zhou, Zhengyi Symplectic Geometry We prove that Bourgeois' contact structures on $M \times \mathbb{T}^{2}$ determined by the supporting open books of a contact manifold $(M, ξ)$ are always tight. The proof is based on a contact homology computation leveraging holomorphic foliations and Kuranishi structures. |
| title | Bourgeois' contact manifolds are tight |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2404.16311 |