Affine extensions of multiple conjugation quandles and augmented MCQ Alexander pairs

Autor: Murao, Tomo
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 19 pages. arXiv admin note: substantial text overlap with arXiv:1905.02519
Databáze: arXiv