Euclidean lengths and the Culler-Shalen norms of slopes
arXiv:2507.09986
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.
18 pages, 1 figure