The prism manifold realization problem III

William Ballinger; Yi Ni; Tynan Ochse; Faramarz Vafaee

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arXiv · 1808.05321

The prism manifold realization problem III

William Ballinger·Yi Ni·Tynan Ochse·Faramarz Vafaee

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Abstract

Every prism manifold can be parametrized by a pair of relatively prime integers $p>1$ and $q$. In our earlier papers, we determined a complete list of prism manifolds $P(p, q)$ that can be realized by positive integral surgeries on knots in $S^3$ when $q<0$ or $q>p$; in the present work, we solve the case when $0<q<p$. This completes the solution of the realization problem for prism manifolds.

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William Ballinger, Yi Ni, Tynan Ochse, Faramarz Vafaee. 2018-08-16. The prism manifold realization problem III. https://arxiv.org/abs/1808.05321

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