Genera and crossing numbers of 2-bridge knots
Volume 264 / 2024
Fundamenta Mathematicae 264 (2024), 179-195
MSC: Primary 57K10; Secondary 57K31
DOI: 10.4064/fm208-8-2023
Published online: 12 December 2023
Abstract
We determine the average genus of all the $2$-bridge knots with a given crossing number. As a consequence, we obtain the oblique asymptote of this value as the crossing number grows.
