Invariants of Handlebody-Knots via Yokota's Invariants

Atsuhiko Mizusawa, Jun Murakami

We construct quantum ${\mathcal{U}}_q({\mathfrak{sl}}_2)$ type invariants for handlebody-knots in the 3-sphere $S^3$. A handlebody-knot is an embedding of a handlebody in a 3-manif…