Strong Arnold chord conjecture via normalized capacities
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914744135319552 |
|---|---|
| author | Kang, Jungsoo Zhang, Jun |
| author_facet | Kang, Jungsoo Zhang, Jun |
| contents | We show that every dynamically convex toric domain in $\mathbb R^4$ admits a $C^1$-neighborhood $\mathcal U$ within the space of star-shaped domains of $\mathbb R^4$ with the following property: for any $X \in \mathcal U$, every Legendrian knot in $\partial X$ admits a Reeb chord with distinct endpoints. A higher dimensional analog is also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05150 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong Arnold chord conjecture via normalized capacities Kang, Jungsoo Zhang, Jun Symplectic Geometry 53D10, 53D05 We show that every dynamically convex toric domain in $\mathbb R^4$ admits a $C^1$-neighborhood $\mathcal U$ within the space of star-shaped domains of $\mathbb R^4$ with the following property: for any $X \in \mathcal U$, every Legendrian knot in $\partial X$ admits a Reeb chord with distinct endpoints. A higher dimensional analog is also discussed. |
| title | Strong Arnold chord conjecture via normalized capacities |
| topic | Symplectic Geometry 53D10, 53D05 |
| url | https://arxiv.org/abs/2404.05150 |