Knot-theoretic ternary groups
Group Theory
2019-10-29 v2 Geometric Topology
Abstract
We describe various properties and give several characterizations of ternary groups satisfying two axioms derived from the third Reidemeister move in knot theory. Using special attributes of such ternary groups, such as semi-commutativity, we construct a ternary invariant of curves immersed in compact surfaces, considered up to flat Reidemeister moves.
Cite
@article{arxiv.1805.07817,
title = {Knot-theoretic ternary groups},
author = {Maciej Niebrzydowski and Agata Pilitowska and Anna Zamojska-Dzienio},
journal= {arXiv preprint arXiv:1805.07817},
year = {2019}
}
Comments
18 pages