Stabilization of divisors in high-dimensional contact manifolds
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910445412024320 |
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| author | Avdek, Russell |
| author_facet | Avdek, Russell |
| contents | A stabilization operation is defined for codimension $2$ contact submanifolds in $\dim \geq 5$ contact manifolds $(M, ξ)$. The definition is such that (1) a given $(M, ξ)$ is overtwisted iff its standard transverse unknot is stabilized and (2) transverse stabilization preserves the formal contact isotopy class and intrinsic contact structure of a link. We prove that many transverse links are non-simple. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_00435 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stabilization of divisors in high-dimensional contact manifolds Avdek, Russell Symplectic Geometry Geometric Topology A stabilization operation is defined for codimension $2$ contact submanifolds in $\dim \geq 5$ contact manifolds $(M, ξ)$. The definition is such that (1) a given $(M, ξ)$ is overtwisted iff its standard transverse unknot is stabilized and (2) transverse stabilization preserves the formal contact isotopy class and intrinsic contact structure of a link. We prove that many transverse links are non-simple. |
| title | Stabilization of divisors in high-dimensional contact manifolds |
| topic | Symplectic Geometry Geometric Topology |
| url | https://arxiv.org/abs/2311.00435 |