QUANDLE COCYCLE INVARIANTS OF ROLL-SPUN KNOTS (Intelligence of Low-dimensional Topology)
Masahide Iwakiri, Shin Satoh · Kyoto University Research Information Repository (Kyoto University) · 2011
We generalize the class of roll-spun knots in 2-knot theory and study the quandle colorings for such a 2-knot.We also explain how to calculate the quandle cocycle invariant and prove that the invariant of any roll-spun knot is trivial if the second homology group of the quandle vanishes.