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

2023/08/15 by Tanaka, Kokoro, Taniguchi, Yuta · 3 citations
#57K10 #FOS: Mathematics #Geometric Topology (math.GT) #Primary 57K12 #Secondary 57K45

paper · doi:10.48550/arxiv.2308.07782

Abstract

We give a first example of 2-knots with the same knot group but different knot quandles by analyzing the knot quandles of twist spins. As a byproduct of the analysis, we also give a classification of all twist spins with finite knot quandles.

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