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arXiv:math/0309150 [math.GT]AbstractReferencesReviewsResources

Ribbon concordance of surface-knots via quandle cocycle invariants

J. Scott Carter, Masahico Saito, Shin Satoh

Published 2003-09-08Version 1

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.

Comments: 14 pages, eight figures, interesting applications
Categories: math.GT, math.QA
Subjects: 57Q45, 57Q60, 57M25, 55N99
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