Suciu's ribbon n-knots are mutually distinguished by knot quandles, reproved by showing their associated free-group automorphisms are non-conjugate.
$2$-knots with the same knot group but different knot quandles
1 Pith paper cite this work. Polarity classification is still indexing.
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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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The knot quandles of Suciu's ribbon $n$-knots and automorphisms on the free group of rank two
Suciu's ribbon n-knots are mutually distinguished by knot quandles, reproved by showing their associated free-group automorphisms are non-conjugate.