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arXiv · 2502.16234

Kauffman bracket skein module of the $(3,3,3,3)$-pretzel link exterior

Haimiao Chen
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Abstract

We show that the Kauffman bracket skein module of the $(3,3,3,3)$-pretzel link exterior over $\mathbb{Q}(q^{\frac{1}{2}})$ is not finitely generated as a module over $\mathbb{Q}(q^{\frac{1}{2}})[t_1,t_2]$, where $t_1,t_2$ are the meridians of two components. This disproves a finiteness conjecture of Detcherry proposed in 2021.

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Haimiao Chen. 2025-02-22. Kauffman bracket skein module of the $(3,3,3,3)$-pretzel link exterior. https://arxiv.org/abs/2502.16234

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