A multiple conjugation biquandle and handlebody-links
Geometric Topology
2017-02-07 v1
Abstract
We introduce a multiple conjugation biquandle, and show that it is the universal algebra to define a semi-arc coloring invariant for handlebody-links. A multiple conjugation biquandle is a generalization of a multiple conjugation quandle. We extend the notion of -parallel biquandle operations for any integer , and show that any biquandle gives a multiple conjugation biquandle with them.
Keywords
Cite
@article{arxiv.1702.01363,
title = {A multiple conjugation biquandle and handlebody-links},
author = {Atsushi Ishii and Masahide Iwakiri and Seiichi Kamada and Jieon Kim and Shosaku Matsuzaki and Kanako Oshiro},
journal= {arXiv preprint arXiv:1702.01363},
year = {2017}
}