Singular Knots and Involutive Quandles
Document Type
Article
Publication Date
2017
Keywords
Quandles, singular knots and links, involutive quandles, singquadles
Digital Object Identifier (DOI)
https://doi.org/10.1142/S0218216517500997
Abstract
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.
Was this content written or created while at USF?
Yes
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.
https://digitalcommons.usf.edu/mth_facpub/104
