Ribbon concordance of surface-knots via quandle cocycle invariants

J. Scott Carter; Masahico Saito; Shin Satoh

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Ribbon concordance of surface-knots via quandle cocycle invariants

J. Scott Carter·Masahico Saito·Shin Satoh

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Abstract

We give necessary conditions of a surface-knot to be ribbon concordant to another, by introducing a new variant of the cocycle invariant of surface-knots in addition to using the invariant already known. We demonstrate that twist-spins of some torus knots are not ribbon concordant to their orientation reversed images.

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J. Scott Carter, Masahico Saito, Shin Satoh. 2003-09-08. Ribbon concordance of surface-knots via quandle cocycle invariants. https://arxiv.org/abs/math/0309150

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