A Generalization of Pretzel Links via Spatial Graphs
Abstract
In this paper, we introduce 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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.