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I am currently reading this paper, where the author classifies the pretzel links up to link homotopy using a quasi-trivial quandle $\mathbb{Z}_{k}[t^{\pm 1}]\diagup_{(t-1)^{2}}$, and I find it difficult to understand the proof of lemma 5.6. Can anyone provide some help for me to understandwith this proof?

I am currently reading this paper, where the author classifies the pretzel links up to link homotopy using a quasi-trivial quandle $\mathbb{Z}_{k}[t^{\pm 1}]\diagup_{(t-1)^{2}}$, and I find it difficult to understand the proof of lemma 5.6. Can anyone provide some help for me to understand this proof?

I am currently reading this paper where the author classifies the pretzel links up to link homotopy using a quasi-trivial quandle $\mathbb{Z}_{k}[t^{\pm 1}]\diagup_{(t-1)^{2}}$, and I find it difficult to understand the proof of lemma 5.6. Can anyone help with this proof?

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Suki
Suki
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  • 6

Classification of pretzel links up to link homotopy using alexander quandle

I am currently reading this paper, where the author classifies the pretzel links up to link homotopy using a quasi-trivial quandle $\mathbb{Z}_{k}[t^{\pm 1}]\diagup_{(t-1)^{2}}$, and I find it difficult to understand the proof of lemma 5.6. Can anyone provide some help for me to understand this proof?