Ballinger, William and Ni, Yi and Ochse, Tynan and Vafaee, Faramarz (2022) The prism manifold realization problem III. Proceedings of the London Mathematical Society, 125 (4). pp. 841-878. ISSN 0024-6115. doi:10.1112/plms.12472. https://resolver.caltech.edu/CaltechAUTHORS:20220906-252468000
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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 S³ 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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| Additional Information: | This project started during Caltech's Summer Undergraduate Research Fellowships (SURF) program in the summer of 2017. Y.N. was partially supported by NSF grant numbers DMS-1252992 and DMS-1811900. F.V. was partially supported by an AMS-Simons Travel Grant. We thank the referee for many helpful suggestions. | ||||||||||
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| Issue or Number: | 4 | ||||||||||
| DOI: | 10.1112/plms.12472 | ||||||||||
| Record Number: | CaltechAUTHORS:20220906-252468000 | ||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20220906-252468000 | ||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
| ID Code: | 116712 | ||||||||||
| Collection: | CaltechAUTHORS | ||||||||||
| Deposited By: | Donna Wrublewski | ||||||||||
| Deposited On: | 08 Dec 2022 17:37 | ||||||||||
| Last Modified: | 08 Dec 2022 17:37 |
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