A $G$-family of quandles and handlebody-knots

Atsushi Ishii; Kanako Oshiro; Masahide Iwakiri; Yeonhee Jang

arxiv: 1205.1855 · v1 · pith:XDWCICOXnew · submitted 2012-05-09 · 🧮 math.GT

A G-family of quandles and handlebody-knots

Atsushi Ishii , Masahide Iwakiri , Yeonhee Jang , Kanako Oshiro This is my paper

classification 🧮 math.GT

keywords handlebody-knotsfamilyquandlesalgebraicaxiomschiralitiesconstructdetect

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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.

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A G-family of quandles and handlebody-knots

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