Ribbon concordance of surface-knots via quandle cocycle invariants

Details Ribbon concordance of surface-knots via quandle cocycle invariants Ribbon concordance of surface-knots via quandle cocycle invariants

2003-09-08

arxiv.org/abs/math/0309150v1

Mathematics

Geometric Topology

14 pages, eight figures, interesting applications

Scientific paper

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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