Average four-genus of two-bridge knots
Geometric Topology
2025-04-08 v2
Abstract
We prove that the expected value of the ratio between the smooth four-genus and the Seifert genus of two-bridge knots tends to zero as the crossing number tends to infinity.
Cite
@article{arxiv.1902.05721,
title = {Average four-genus of two-bridge knots},
author = {Sebastian Baader and Alexandra Kjuchukova and Lukas Lewark and Filip Misev and Arunima Ray},
journal= {arXiv preprint arXiv:1902.05721},
year = {2025}
}
Comments
6 pages, 3 figures, 0 footnotes. To appear in Proceedings of the AMS. Comments welcome!