Euclidean lengths and the Culler-Shalen norms of slopes

Published 14 Jul 2025 in math.GT | (2507.09986v1)

Abstract: In the study of exceptional Dehn fillings, two functions on slopes, called the Euclidean length on a horotorus and the Culler-Shalen norm, play important roles. In this paper, we investigate their relationship and establish two inequalities between them. As a byproduct, some bounds on the boundary slope diameter are given.

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Kazuhiro Ichihara

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