A symmetric quandle is a quandle with a good involution. For a knot in ℝ³, a knotted surface in ℝ⁴ or an n-manifold knot in , 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-6,
author = {Seiichi Kamada},
title = {Quandles and symmetric quandles for higher dimensional knots},
journal = {Banach Center Publications},
volume = {102},
year = {2014},
pages = {145-158},
zbl = {1312.57029},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-6}
}
Seiichi Kamada. Quandles and symmetric quandles for higher dimensional knots. Banach Center Publications, Tome 102 (2014) pp. 145-158. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-6/