| Autor: |
Mahato, Tumpa, Mishra, Rama, Joshi, Sahil |
| Rok vydání: |
2024 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
In this paper we study welded knots and their invariants. We focus on generating examples of non-trivial knotted ribbon tori as the tube of welded knots that are obtained from classical knot diagrams by welding some of the crossings. Non-triviality is shown by determining the fundamental group of the concerned welded knot. Sample examples under consideration are the standard diagrams of the family of $(2,q)$ torus knots and the twist knots. Standard diagrams of knots from Rolfsen's tables with $6$ crossings are also discussed which are not in the family of torus and twist knots. |
| Databáze: |
arXiv |
| Externí odkaz: |
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