Research ArticleNo Access

Quandle coloring quivers of links using dihedral quandles

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

E-mail Address: m19sa012@du.osaka-cu.ac.jp

https://doi.org/10.1142/S0218216521500115Cited by:3 (Source: Crossref)

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.

Keywords:

AMSC: 57K10, 57K12

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