A note on knot fertility II
| Autor: | Ito, Tetsuya |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Acta Math. Hungar.169(2023), no.2, 553-561 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10474-023-01317-7 |
| Popis: | A knot $K$ is called $(m,n)$-fertile if for every prime knot $K'$ whose crossing number is less than or equal to $m$, there exists an $n$-crossing diagram of $K$ such that one can get $K'$ from the diagram by changing its over-under information. We give an obstruction for knot to be $(m,n)$-fertile. As application, we prove the finiteness of $(c(K)+f,c(K)+p)$-fertile knots for all $f,p$. We also discuss the nubmer of Seiefrt circle and writhe of minimum crossing diagrams. Comment: 7 pages, no Figures |
| Databáze: | arXiv |
| Externí odkaz: |
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