Affine extensions of multiple conjugation quandles and augmented MCQ Alexander pairs

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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.

Original languageEnglish
Article number107531
JournalTopology and its Applications
DOIs
Publication statusAccepted/In press - 2020

Keywords

  • Affine extension
  • Augmented MCQ Alexander pair
  • Handlebody-knot
  • Multiple conjugation quandle

ASJC Scopus subject areas

  • Geometry and Topology

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