Quandles and symmetric quandles for higher dimensional knots
Volume 103 / 2014
Banach Center Publications 103 (2014), 145-158
MSC: 57Q45.
DOI: 10.4064/bc103-0-6
Abstract
A symmetric quandle is a quandle with a good involution. For a knot in $\mathbb R^3$, a knotted surface in $\mathbb R^4$ or an $n$-manifold knot in $\mathbb R^{n+2}$, 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.
