The pretzel knot $P(4,-3,5)$ is not squeezed

Abstract

We prove that an infinite family of three-strand pretzel knots is not squeezed. In particular, we show that $P(4,-3,5)$ is not squeezed. This answers a question posed by Lewark (2024). Our proof is obtained by comparing the Rasmussen invariant with the $q_M$-invariant introduced by Iida and Taniguchi.

17 pages, 2 figures. Proposition 4.9 is modified