66 citations · 232 across the 47 of their papers we have counts for
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math.GT2003
Ribbon concordance of surface-knots via quandle cocycle invariants
J. Scott Carter, Masahico Saito, Shin Satoh
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 i…
math.GT2003★ 9 cited
Cocycle Knot Invariants from Quandle Modules and Generalized Quandle Cohomology
J. Scott Carter, Mohamed Elhamdadi, Matias Graña +1
Three new knot invariants are defined using cocycles of the generalized quandle homology theory that was proposed by Andruskiewitsch and Graña. We specialize that theory to the cas…