Abstract
We introduce a multiple conjugation biquandle, and show that it is the universal algebra for defining 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 $n$-parallel biquandle operations for any integer $n$, and show that any biquandle gives a multiple conjugation biquandle with them.
Citation
Atsushi Ishii. Masahide Iwakiri. Seiichi Kamada. Jieon Kim. Shosaku Matsuzaki. Kanako Oshiro. "A multiple conjugation biquandle and handlebody-links." Hiroshima Math. J. 48 (1) 89 - 117, March 2018. https://doi.org/10.32917/hmj/1520478026
Information