A Generalization of Pretzel Links via Spatial Graphs
Geometric Topology
2026-03-10 v1
Abstract
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.
Cite
@article{arxiv.2603.07876,
title = {A Generalization of Pretzel Links via Spatial Graphs},
author = {Kotaro Shoji},
journal= {arXiv preprint arXiv:2603.07876},
year = {2026}
}
Comments
8 pages, 6 figures