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arXiv · 2509.15537

A condition on the Jones polynomial for a family of positive links

Lizzie Buchanan
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Abstract

We provide a bound on the maximum degree of the Jones polynomial of any positive link with second Jones coefficient equal to $\pm 1$. This builds on the result of our previous work, in which we found such a bound for positive fibered links.

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Lizzie Buchanan. 2025-09-19. A condition on the Jones polynomial for a family of positive links. https://arxiv.org/abs/2509.15537

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