Quandles versus symmetric quandles for oriented links
Geometric Topology
2020-10-21 v1 Algebraic Topology
Abstract
Given a quandle, we can construct a symmetric quandle called the symmetric double of the quandle. We show that the (co)homology groups of a given quandle are isomorphic to those of its symmetric double. Moreover, quandle coloring numbers and quandle cocycle invariants of oriented links and oriented surface-links can be interpreted by using symmetric quandles.
Cite
@article{arxiv.2010.09983,
title = {Quandles versus symmetric quandles for oriented links},
author = {Kanako Oshiro},
journal= {arXiv preprint arXiv:2010.09983},
year = {2020}
}