Links with finite $n$-quandles
Geometric Topology
2018-03-16 v2
Abstract
We prove a conjecture of Przytycki which asserts that the -quandle of a link in the 3-sphere is finite if and only if the fundamental group of the -fold cyclic branched cover of the 3-sphere, branched over , is finite.
Cite
@article{arxiv.1606.08324,
title = {Links with finite $n$-quandles},
author = {Jim Hoste and Patrick D. Shanahan},
journal= {arXiv preprint arXiv:1606.08324},
year = {2018}
}
Comments
16 pages, 4 figures, minor revisions in Sections 1-4, new Section 5 added which enumerates all links in $S^3$ with a finite $n$-quandle for some $n$, references added and updated