Quandles and symmetric quandles for higher dimensional knots
Geometric Topology
2016-01-06 v1
Abstract
A symmetric quandle is a quandle with a good involution. For a knot in $R^3$, a knotted surface in $R^4$ or an $n$-manifold knot in $R^{n+2}$, the knot symmetric quandle is defined. We introduce the notion of a symmetric quandle presentation, and show how to get a presentation of a knot symmetric quandle from a diagram.
Keywords
Cite
@article{arxiv.1403.0689,
title = {Quandles and symmetric quandles for higher dimensional knots},
author = {Seiichi Kamada},
journal= {arXiv preprint arXiv:1403.0689},
year = {2016}
}
Comments
13 pages. It will appear in Banach Center Publications