Work

Coloring torus knots by conjugation quandles

Year: 2025

Type: article

Abstract: In the first part of this paper, we present general results concerning the colorability of torus knots using conjugation quandles over any abstract group. Subsequently, we offer a numerical characterization for the colorability of torus knots using conjugation quandles over some particular groups: the matrix groups [Formula: see text] and [Formula: see text], the dihedral group, and the symmetric group.

Source: Journal of Knot Theory and Its Ramifications

DOI: 10.1142/s0218216525500415

Author: Filippo Spaggiari

Institution: Charles University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Univerzita Karlova v Praze

Awards: G3302707727, G344589452