R-equivalence classes of Rotš¯”¼2-colorings of torus knots

Journal of Knot Theory and Its Ramifications 2026

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Authors: Mai Sato
DOI: 10.1142/s0218216526500252
Cited by: 1
References: 11

Abstract

In this paper, we introduce a new equivalence relation, named R-equivalence relation, on the set of colorings of an oriented knot diagram by a quandle. We determine the R-equivalence classes of colorings of a diagram of a torus knot by a quandle, called [Formula: see text], under a certain condition.

Fields of Study & Subjects

Geometric and Algebraic Topology Advanced Combinatorial Mathematics Homotopy and Cohomology in Algebraic Topology

Publication details

Journal / source
Journal of Knot Theory and Its Ramifications
Publisher
World Scientific Pub Co Pte Ltd
Volume
35
Issue
12
Publication date
13 March 2026
Language
EN