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Ribbon n-knots with isomorphic quandles

Let [Formula: see text] be ribbon knottings of [Formula: see text]-spheres or tori in [Formula: see text], [Formula: see text]. We show that if the knot quandles of these knots… Click to show full abstract

Let [Formula: see text] be ribbon knottings of [Formula: see text]-spheres or tori in [Formula: see text], [Formula: see text]. We show that if the knot quandles of these knots are isomorphic, then the ribbon knottings are stably equivalent, in the sense of Nakanishi and Nakagawa, after taking a finite number of connected sums with trivially embedded copies of [Formula: see text].

Keywords: isomorphic quandles; ribbon knots; knots isomorphic; formula see; see text

Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2019

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