Linear extensions of multiple conjugation quandles and MCQ Alexander pairs
Geometric Topology
2020-03-26 v3
Abstract
A quandle is an algebra whose axioms are motivated from knot theory. A linear extension of a quandle can be described by using a pair of maps called an Alexander pair. In this paper, we show that a linear extension of a multiple conjugation quandle can be described by using a pair of maps called an MCQ Alexander pair, where a multiple conjugation quandle is an algebra whose axioms are motivated from handlebody-knot theory.
Keywords
Cite
@article{arxiv.1905.02519,
title = {Linear extensions of multiple conjugation quandles and MCQ Alexander pairs},
author = {Tomo Murao},
journal= {arXiv preprint arXiv:1905.02519},
year = {2020}
}
Comments
15 pages