Derivatives with MCQ alexander pairs for Handlebody-links
Abstract
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.
Fields of Study & Subjects
Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Advanced Topics in Algebra
Publication details
- Journal / source
- Journal of Knot Theory and Its Ramifications
- Volume
- 35
- Issue
- 11
- Publication date
- 6 March 2026
- Language
- EN