On the arc index and Turaev genus of a link
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911663552200704 |
|---|---|
| author | Vílchez, Álvaro Del Valle Lowrance, Adam M. |
| author_facet | Vílchez, Álvaro Del Valle Lowrance, Adam M. |
| contents | We compute the arc index of an adequate link and establish bounds on the arc index of the closure of a positive 3-braid. We also conjecture an inequality between the crossing number, arc index, and Turaev genus of a link and show the conjecture is true for several infinite families of links including alternating links, links with Turaev genus one, adequate links, closures of positive 3-braids, torus links, and most Kanenobu knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_21274 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the arc index and Turaev genus of a link Vílchez, Álvaro Del Valle Lowrance, Adam M. Geometric Topology Primary 57K10, Secondary 20F36, 57K18 We compute the arc index of an adequate link and establish bounds on the arc index of the closure of a positive 3-braid. We also conjecture an inequality between the crossing number, arc index, and Turaev genus of a link and show the conjecture is true for several infinite families of links including alternating links, links with Turaev genus one, adequate links, closures of positive 3-braids, torus links, and most Kanenobu knots. |
| title | On the arc index and Turaev genus of a link |
| topic | Geometric Topology Primary 57K10, Secondary 20F36, 57K18 |
| url | https://arxiv.org/abs/2509.21274 |