Singular knots and involutive quandles-Reference-Cited by-同舟云学术

Singular knots and involutive quandles

Published:2017-12 Issue:14 Volume:26 Page:1750099
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Churchill Indu R. U.¹,Elhamdadi Mohamed²,Hajij Mustafa²,Nelson Sam³

Affiliation:

1. Department of Mathematics, State University of New York at Oswego, Oswego, NY, USA

2. Department of Mathematics, University of South Florida, Tampa, FL 33620, USA

3. Department of Mathematical Sciences, Claremont McKenna College, 850 Columbia Ave., Claremont, CA 91711, USA

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.

Funder

Simons Foundation

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216517500997

Reference14 articles.

1. VIRTUAL KNOT INVARIANTS FROM GROUP BIQUANDLES AND THEIR COCYCLES

2. Quandle colorings of knots and applications

3. Quandles

4. THE JONES AND ALEXANDER POLYNOMIALS FOR SINGULAR LINKS

5. Semiquandles and flat virtual knots

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