Affine extensions of multiple conjugation quandles and augmented MCQ Alexander pairs

Tomo Murao

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arXiv · 2004.03388

Affine extensions of multiple conjugation quandles and augmented MCQ Alexander pairs

Tomo Murao

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Abstract

A multiple conjugation quandle is an algebra whose axioms are motivated from handlebody-knot theory. Any linear extension of a multiple conjugation quandle can be described by using a pair of maps called an MCQ Alexander pair. In this paper, we show that any affine extension of a multiple conjugation quandle can be described by using a quadruple of maps, called an augmented MCQ Alexander pair.

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Tomo Murao. 2020-04-06. Affine extensions of multiple conjugation quandles and augmented MCQ Alexander pairs. https://arxiv.org/abs/2004.03388

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