paper

A -family of quandles and handlebody-knots

arXiv:1205.1855

Abstract

We introduce the notion of a -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.

22 pages

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