In this paper, we introduce the f-derivative for multiple conjugation quandles with an MCQ Alexander pair f, where a multiple conjugation quandle is an algebra whose axioms are motivated from handlebo
In this paper, we introduce the f-derivative for multiple conjugation quandles with an MCQ Alexander pair f, where a multiple conjugation quandle is an algebra whose axioms are motivated from handlebody-knot theory, and an MCQ Alexander pair is a pair of maps related to a linear extension of a multiple conjugation quandle. Using this, we define f-twisted Alexander matrices for handlebody-links equipped with their multiple conjugation quandle representations.We show that this matrix produces strictly stronger invariants than the (twisted) Alexander matrix for handlebody-links.
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Ishii et al. (2026) studied this question.
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