Abstract
A handlebody-link is a disjoint union of handlebodies embedded in the 3-sphere $S^3$. A multiple conjugation quandle is an algebraic system whose axioms are derived from the Reidemeister moves for handlebody-link diagrams. In this paper, we introduce the notion of a presentation of a multiple conjugation quandle and define the fundamental multiple conjugation quandle of a handlebody-link. We also see that the fundamental multiple conjugation quandle is an invariant of handlebody-links.
Funding Statement
The author was supported by JSPS KAKENHI Grant Number JP18K03292.
Citation
Atsushi ISHII. "The fundamental multiple conjugation quandle of a handlebody-link." J. Math. Soc. Japan 74 (1) 1 - 23, January, 2022. https://doi.org/10.2969/jmsj/84308430
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