Abstract
We introduce the notion of a $G$-family of quandles which is an algebraic system whose axioms are motivated by handlebody-knot theory, and use it to construct invariants for handlebody-knots. Our invariant can detect the chiralities of some handlebody-knots including unknown ones.
Citation
Atsushi Ishii. Masahide Iwakiri. Yeonhee Jang. Kanako Oshiro. "A $G$-family of quandles and handlebody-knots." Illinois J. Math. 57 (3) 817 - 838, Fall 2013. https://doi.org/10.1215/ijm/1415023512
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