On the braid index of a two-bridge knot

2023/10/03 by Suzuki, Masaaki, Tran, Anh T.
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2310.02483

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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