An operator invariant for handlebody-knots

Kai Ishihara, and Atsushi Ishii. "An operator invariant for handlebody-knots." Fundamenta Mathematicae 217.3 (2012): 233-247. <http://eudml.org/doc/283340>.

@article{KaiIshihara2012,
abstract = {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.},
author = {Kai Ishihara, Atsushi Ishii},
journal = {Fundamenta Mathematicae},
keywords = {handlebody-knot; marking; spatial graph; operator invariant},
language = {eng},
number = {3},
pages = {233-247},
title = {An operator invariant for handlebody-knots},
url = {http://eudml.org/doc/283340},
volume = {217},
year = {2012},
}

TY - JOUR
AU - Kai Ishihara
AU - Atsushi Ishii
TI - An operator invariant for handlebody-knots
JO - Fundamenta Mathematicae
PY - 2012
VL - 217
IS - 3
SP - 233
EP - 247
AB - 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.
LA - eng
KW - handlebody-knot; marking; spatial graph; operator invariant
UR - http://eudml.org/doc/283340
ER -