Contact domination
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910835740246016 |
|---|---|
| author | Ajij, Sekh Kiran Chakraborty, Ritwik Sen, Balarka |
| author_facet | Ajij, Sekh Kiran Chakraborty, Ritwik Sen, Balarka |
| contents | In this note, we prove that every closed connected oriented odd-dimensional manifold admits a map of non-zero degree (i.e., a domination) from a tight contact manifold of the same dimension. This provides an odd-dimensional counterpart of a symplectic domination result due to Joel Fine and Dmitri Panov. We prove that the dominating contact manifold can be ensured to be Liouville-fillable, but not Weinstein-fillable in general. We discuss an application for contact divisors arising as zero sets of asymptotically contact-holomorphic sections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13927 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Contact domination Ajij, Sekh Kiran Chakraborty, Ritwik Sen, Balarka Symplectic Geometry Differential Geometry 53D10 In this note, we prove that every closed connected oriented odd-dimensional manifold admits a map of non-zero degree (i.e., a domination) from a tight contact manifold of the same dimension. This provides an odd-dimensional counterpart of a symplectic domination result due to Joel Fine and Dmitri Panov. We prove that the dominating contact manifold can be ensured to be Liouville-fillable, but not Weinstein-fillable in general. We discuss an application for contact divisors arising as zero sets of asymptotically contact-holomorphic sections. |
| title | Contact domination |
| topic | Symplectic Geometry Differential Geometry 53D10 |
| url | https://arxiv.org/abs/2502.13927 |