Transverse knots determined by their cyclic branched covers
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911547267219456 |
|---|---|
| author | Kegel, Marc Nonino, Isacco |
| author_facet | Kegel, Marc Nonino, Isacco |
| contents | Harvey-Kawamuro-Plamenevskaya demonstrated the existence of (transversely) non-isotopic transverse knots such that for every $n>1$ their $n$-fold cyclic branched covers are contactomorphic. In this short note, we construct other examples of non-isotopic transverse knots that have contactomorphic cyclic branched covers. Conversely, we prove that the transverse isotopy classes of many transverse knots are actually determined by the contactomorphism type of their cyclic branched covers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25805 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Transverse knots determined by their cyclic branched covers Kegel, Marc Nonino, Isacco Geometric Topology 53D35, 53D10, 57R65, 57M12, 57K10, 57K32 Harvey-Kawamuro-Plamenevskaya demonstrated the existence of (transversely) non-isotopic transverse knots such that for every $n>1$ their $n$-fold cyclic branched covers are contactomorphic. In this short note, we construct other examples of non-isotopic transverse knots that have contactomorphic cyclic branched covers. Conversely, we prove that the transverse isotopy classes of many transverse knots are actually determined by the contactomorphism type of their cyclic branched covers. |
| title | Transverse knots determined by their cyclic branched covers |
| topic | Geometric Topology 53D35, 53D10, 57R65, 57M12, 57K10, 57K32 |
| url | https://arxiv.org/abs/2603.25805 |