End-essential spanning surfaces for links in thickened surfaces
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929478331006976 |
|---|---|
| author | Kindred, Thomas |
| author_facet | Kindred, Thomas |
| contents | Let $D$ be a cellular alternating link diagram on a closed orientable surface $Σ$. We prove that if $D$ has no removable nugatory crossings then each checkerboard surface from $D$ is $π_1$-essential and contains no essential closed curve that is $\partial$-parallel in $Σ\times I$. Our chief motivation comes from technical aspects of a companion paper, where we prove that Tait's flyping conjecture holds for alternating virtual links. We also describe possible applications via Turaev surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_03218 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | End-essential spanning surfaces for links in thickened surfaces Kindred, Thomas Geometric Topology 57K12, 57K30 Let $D$ be a cellular alternating link diagram on a closed orientable surface $Σ$. We prove that if $D$ has no removable nugatory crossings then each checkerboard surface from $D$ is $π_1$-essential and contains no essential closed curve that is $\partial$-parallel in $Σ\times I$. Our chief motivation comes from technical aspects of a companion paper, where we prove that Tait's flyping conjecture holds for alternating virtual links. We also describe possible applications via Turaev surfaces. |
| title | End-essential spanning surfaces for links in thickened surfaces |
| topic | Geometric Topology 57K12, 57K30 |
| url | https://arxiv.org/abs/2210.03218 |