Exotic tight contact structures on $\mathbb{R}^n$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866916788629929984 |
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| author | Fauteux-Chapleau, François-Simon Helfer, Joseph |
| author_facet | Fauteux-Chapleau, François-Simon Helfer, Joseph |
| contents | We introduce a variant of contact homology for convex open contact manifolds. As an application, we prove the existence of (in fact, infinitely many) exotic tight contact structures on $\mathbb{R}^{2n-1}$ for all $n>2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_07590 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Exotic tight contact structures on $\mathbb{R}^n$ Fauteux-Chapleau, François-Simon Helfer, Joseph Symplectic Geometry 53D42 We introduce a variant of contact homology for convex open contact manifolds. As an application, we prove the existence of (in fact, infinitely many) exotic tight contact structures on $\mathbb{R}^{2n-1}$ for all $n>2$. |
| title | Exotic tight contact structures on $\mathbb{R}^n$ |
| topic | Symplectic Geometry 53D42 |
| url | https://arxiv.org/abs/2111.07590 |