Quandles and symmetric quandles for higher dimensional knots

Authors :: Kamada, Seiichi
Source :: Knots in Poland III -- Part III, Banach Center Publications,103 (2014), 145--158
Publication Year :: 2014
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.<br />Comment: 13 pages. It will appear in Banach Center Publications

Database :: arXiv
Journal :: Knots in Poland III -- Part III, Banach Center Publications,103 (2014), 145--158
Publication Type :: Report
Accession number :: edsarx.1403.0689
Document Type :: Working Paper
Full Text :: https://doi.org/10.1063/1.4866633