A note on the unknotting number and the region unknotting number of weaving knots
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908628527611904 |
|---|---|
| author | Shimizu, Ayaka Gill, Amrendra Joshi, Sahil |
| author_facet | Shimizu, Ayaka Gill, Amrendra Joshi, Sahil |
| contents | A weaving knot is an alternating knot whose minimal diagram is a closed braid of a lattice-like pattern. In this paper, the warping degree of a braid diagram is defined, and upper bounds of the unknotting number and the region unknotting number for some families of weaving knots are given by diagrammatical and combinatorial examination of the warping degree of weaving knot diagrams. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14938 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the unknotting number and the region unknotting number of weaving knots Shimizu, Ayaka Gill, Amrendra Joshi, Sahil Geometric Topology A weaving knot is an alternating knot whose minimal diagram is a closed braid of a lattice-like pattern. In this paper, the warping degree of a braid diagram is defined, and upper bounds of the unknotting number and the region unknotting number for some families of weaving knots are given by diagrammatical and combinatorial examination of the warping degree of weaving knot diagrams. |
| title | A note on the unknotting number and the region unknotting number of weaving knots |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2408.14938 |