The prism manifold realization problem III. Issue 4 (27th August 2022)

• Record Type: Journal Article
• Authors: Ballinger, William; Ni, Yi; Ochse, Tynan; Vafaee, Faramarz
• Is Part Of: Proceedings of the London Mathematical Society. Volume 125:Issue 4(2022)
• Page Start: 841
• Page End: 878
• Publication Date: 2022-08-27
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1112/plms.12472
• Languages: English
• ISSNs: 0024-6115

Abstract

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