Quandle coloring quivers of links using dihedral quandles-Reference-Cited by-同舟云学术

Quandle coloring quivers of links using dihedral quandles

Published:2021-02 Issue:02 Volume:30 Page:2150011
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Taniguchi Yuta¹^ORCID

Affiliation:

1. Department of Mathematics, Osaka City University, Sugimoto, Sumiyoshi-ku, Osaka, 558-8585, Japan

Abstract

Cho and Nelson introduced the notion of a quandle coloring quiver, which is a quiver-valued link invariant. This invariant is in general a stronger link invariant than the quandle coloring number. In this paper, we study quandle coloring quiver using dihedral quandle. We show that when we use a dihedral quandle of prime order, the quandle coloring quivers are equivalent to the quandle coloring numbers. We also discuss shadow versions of their invariants.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216521500115

Reference11 articles.

1. Quandle cohomology and state-sum invariants of knotted curves and surfaces

2. Computations of Quandle Cocycle Invariants of Knotted Curves and Surfaces

3. GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY

4. Surfaces in 4-Space

5. Quandle cocycle quivers

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