The pretzel knot $P(4, -3, 5)$ is not squeezed
Geometric Topology
2025-11-19 v2
Abstract
We prove that an infinite family of three-strand pretzel knots is not squeezed. In particular, we show that is not squeezed. This answers a question posed by Lewark (2024). Our proof is obtained by comparing the Rasmussen invariant with the -invariant introduced by Iida and Taniguchi.
Cite
@article{arxiv.2511.03224,
title = {The pretzel knot $P(4, -3, 5)$ is not squeezed},
author = {Nobuo Iida and Tatsumasa Suzuki},
journal= {arXiv preprint arXiv:2511.03224},
year = {2025}
}
Comments
17 pages, 2 figures. Proposition 4.9 is modified