Quandle Coloring Quivers of general Torus links by dihedral quandles
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916150332358656 |
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| author | Elhamdadi, Mohamed Jones, Brooke Liu, Minghui |
| author_facet | Elhamdadi, Mohamed Jones, Brooke Liu, Minghui |
| contents | We completely characterize the coloring quivers of general torus links by dihedral quandles by first exhausting all possible numbers of colorings, followed by determining the interconnections between colorings in each case. The quiver is obtained as function of the number of colorings. The quiver always contains complete subgraphs, in particular a complete subgraph corresponding to the trivial colorings, but the total number of subgraphs in the quiver and the weights of their edges varies depending on the number of colorings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04534 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quandle Coloring Quivers of general Torus links by dihedral quandles Elhamdadi, Mohamed Jones, Brooke Liu, Minghui Geometric Topology Combinatorics Quantum Algebra 57K12, 16Y99 We completely characterize the coloring quivers of general torus links by dihedral quandles by first exhausting all possible numbers of colorings, followed by determining the interconnections between colorings in each case. The quiver is obtained as function of the number of colorings. The quiver always contains complete subgraphs, in particular a complete subgraph corresponding to the trivial colorings, but the total number of subgraphs in the quiver and the weights of their edges varies depending on the number of colorings. |
| title | Quandle Coloring Quivers of general Torus links by dihedral quandles |
| topic | Geometric Topology Combinatorics Quantum Algebra 57K12, 16Y99 |
| url | https://arxiv.org/abs/2403.04534 |