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arXiv · 2310.02483

On the braid index of a two-bridge knot

Masaaki Suzuki·Anh T. Tran
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Abstract

In this paper, we consider two properties on the braid index of a two-bridge knot. We prove an inequality on the braid indices of two-bridge knots if there exists an epimorphism between their knot groups. Moreover, we provide the average braid index of all two-bridge knots with a given crossing number.

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Masaaki Suzuki, Anh T. Tran. 2023-10-03. On the braid index of a two-bridge knot. https://arxiv.org/abs/2310.02483

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