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

Eri Matsudo; Kanako Oshiro; Gaishi Yamagishi

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arXiv · 2501.09942

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

Eri Matsudo·Kanako Oshiro·Gaishi Yamagishi

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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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Eri Matsudo, Kanako Oshiro, Gaishi Yamagishi. 2025-01-17. Minimum numbers of Dehn colors of knots and symmetric local biquandle cocycle invariants. https://arxiv.org/abs/2501.09942

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