A Generalization of Pretzel Links via Spatial Graphs
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914379595776000 |
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| author | Shoji, Kotaro |
| author_facet | Shoji, Kotaro |
| contents | In this paper, we introduce \textit{graph-pretzel links}, a generalization of classical pretzel links based on spatial graph projections. As our main result, we investigate a subfamily associated with the complete graph on four vertices to construct an infinite family of distinct ribbon knots. Furthermore, although they all share a trivial Alexander polynomial, they can be distinguished from one another by their Jones polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07876 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Generalization of Pretzel Links via Spatial Graphs Shoji, Kotaro Geometric Topology In this paper, we introduce \textit{graph-pretzel links}, a generalization of classical pretzel links based on spatial graph projections. As our main result, we investigate a subfamily associated with the complete graph on four vertices to construct an infinite family of distinct ribbon knots. Furthermore, although they all share a trivial Alexander polynomial, they can be distinguished from one another by their Jones polynomials. |
| title | A Generalization of Pretzel Links via Spatial Graphs |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2603.07876 |