An operator invariant for handlebody-knots
Tom 217 / 2012
Fundamenta Mathematicae 217 (2012), 233-247
MSC: Primary 57M27; Secondary 57M15, 57M25.
DOI: 10.4064/fm217-3-3
Streszczenie
A handlebody-knot is a handlebody embedded in the $3$-sphere. We improve Luo's result about markings on a surface, and show that an IH-move is sufficient to investigate handlebody-knots with spatial trivalent graphs without cut-edges. We also give fundamental moves with a height function for handlebody-tangles, which helps us to define operator invariants for handlebody-knots. By using the fundamental moves, we give an operator invariant.
