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Quandles and symmetric quandles for higher dimensional knots

Volume 103 / 2014

Seiichi Kamada 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.

Authors

  • Seiichi KamadaDepartment of Mathematics
    Osaka City University
    Osaka 558-8585, Japan
    e-mail

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