Affine extensions of multiple conjugation quandles and augmented MCQ Alexander pairs
Geometric Topology
2020-04-08 v1
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.
Keywords
Cite
@article{arxiv.2004.03388,
title = {Affine extensions of multiple conjugation quandles and augmented MCQ Alexander pairs},
author = {Tomo Murao},
journal= {arXiv preprint arXiv:2004.03388},
year = {2020}
}
Comments
19 pages. arXiv admin note: substantial text overlap with arXiv:1905.02519