$2$-knots with the same knot group but different knot quandles
Geometric Topology
2023-08-16 v1
Abstract
We give a first example of 2-knots with the same knot group but different knot quandles by analyzing the knot quandles of twist spins. As a byproduct of the analysis, we also give a classification of all twist spins with finite knot quandles.
Cite
@article{arxiv.2308.07782,
title = {$2$-knots with the same knot group but different knot quandles},
author = {Kokoro Tanaka and Yuta Taniguchi},
journal= {arXiv preprint arXiv:2308.07782},
year = {2023}
}
Comments
11 pages