Communications in Analysis and Geometry
Volume 29 (2021)
The prism manifold realization problem II
Pages: 1279 – 1334
We continue our study of the realization problem for prism manifolds. Every prism manifold can be parametrized by a pair of relatively prime integers $p \gt 1$ and $q$. We determine a complete list of prism manifolds $P(p, q)$ that can be realized by positive integral surgeries on knots in $S^3$ when $q \gt p$. The methodology undertaken to obtain the classification is similar to that of the case $q \lt 0$ in an earlier paper.
Received 4 May 2018
Accepted 17 December 2018
Published 11 January 2022