Minimum numbers of Dehn colors of knots and symmetric local biquandle cocycle invariants

2025/01/17 by Matsudo, Eri, Oshiro, Kanako, Yamagishi, Gaishi
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2501.09942

Abstract

In this paper, we give a method to evaluate minimum numbers of Dehn colors for knots by using symmetric local biquandle cocycle invariants. We give answers to some questions arising as a consequence of our previous paper [6]. In particular, we show that there exist knots which are distinguished by minimum numbers of Dehn colors.

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