Quandles and symmetric quandles for higher dimensional knots
Abstract
A symmetric quandle is a quandle with a good involution. For a knot in 3\, a knotted surface in 4\ or an \-manifold knot in 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.
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