Knot quandles distinguish Suciu's ribbon knots

2025/08/20 by Yasuda, Jumpei · 1 citation
#57K10 #57K45 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2508.15129

Abstract

The knot quandle is an invariant of n-knots. In this note, we study the knot quandles of Suciu's ribbon n-knots, an infinite family of knots with isomorphic knot groups. We prove that their knot quandles are mutually non-isomorphic. Furthermore, we compute types of these quandles.

Citations

• 2-knots with the same knot group but different knot quandles

Cited by

• The knot quandles of Suciu's ribbon n-knots and automorphisms on the free group of rank two

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