Singular Knots and Involutive Quandles
Quandles, singular knots and links, involutive quandles, singquadles
Digital Object Identifier (DOI)
The aim of this paper is to define certain algebraic structures coming from generalized Reidemeister moves of singular knot theory. We give examples, show that the set of colorings by these algebraic structures is an invariant of singular links. As an application, we distinguish several singular knots and links.
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Citation / Publisher Attribution
Journal of Knot Theory and Its Ramifications, v. 26, issue 14, art. 1750099
Scholar Commons Citation
Churchill, Indu R. U.; Elhamdadi, Mohamed; Hajij, Mustafa; and Nelson, Sam, "Singular Knots and Involutive Quandles" (2017). Mathematics and Statistics Faculty Publications. 104.