A lower bound of the crossing number of composite knots
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910527523913728 |
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| author | Qiu, Ruifeng Wang, Chao |
| author_facet | Qiu, Ruifeng Wang, Chao |
| contents | Let $c(K)$ denote the crossing number of a knot $K$ and let $K_1\# K_2$ denote the connected sum of two oriented knots $K_1$ and $K_2$. It is a very old unsolved question that whether $c(K_1\# K_2)=c(K_1)+c(K_2)$. In this paper we show that $c(K_1\# K_2)> (c(K_1)+c(K_2))/16$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10467 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A lower bound of the crossing number of composite knots Qiu, Ruifeng Wang, Chao Geometric Topology Primary 57M25, Secondary 57N10 Let $c(K)$ denote the crossing number of a knot $K$ and let $K_1\# K_2$ denote the connected sum of two oriented knots $K_1$ and $K_2$. It is a very old unsolved question that whether $c(K_1\# K_2)=c(K_1)+c(K_2)$. In this paper we show that $c(K_1\# K_2)> (c(K_1)+c(K_2))/16$. |
| title | A lower bound of the crossing number of composite knots |
| topic | Geometric Topology Primary 57M25, Secondary 57N10 |
| url | https://arxiv.org/abs/2407.10467 |