A multiple conjugation biquandle and handlebody-links

作者:Ishii Atsushi*; Iwakiri Masahide; Kamada Seiichi; Kim Jieon; Matsuzaki Shosaku; Oshiro Kanako
来源:Hiroshima Mathematical Journal, 2018, 48(1): 89-117.
DOI:10.32917/hmj/1520478026

摘要

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.

  • 出版日期2018-3