An operator invariant for handlebody-knots

• Autorzy: Kai Ishihara , Atsushi Ishii
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57M27: Invariants of knots and 3-manifolds
• 57M25: Knots and links in S 3
• 57M15: Relations with graph theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 217
• Numer: 3
• Strony: 233-247

Daty

wydano

2012

Twórcy

autor

Kai Ishihara

• Department of Mathematics and Information Sciences, Faculty of Education, Yamaguchi University, 1677-1 Yoshida, Yamaguchi 753-8513, Japan

autor

Atsushi Ishii

• Institute of Mathematics, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8571, Japan

Identyfikatory

DOI

10.4064/fm217-3-3