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The prism manifold realization problem II

Ballinger, William and Ni, Yi and Ochse, Tynan and Vafaee, Faramarz (2022) The prism manifold realization problem II. Communications in Analysis and Geometry, 29 (6). pp. 1279-1334. ISSN 1019-8385. doi:10.4310/CAG.2021.v29.n6.a1. https://resolver.caltech.edu/CaltechAUTHORS:20180308-070652999

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Abstract

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 > 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 S³ when q > p. The methodology undertaken to obtain the classification is similar to that of the case q < 0 in an earlier paper.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.4310/CAG.2021.v29.n6.a1DOIArticle
https://arxiv.org/abs/1710.00089arXivDiscussion Paper
ORCID:
AuthorORCID
Ni, Yi0000-0002-5287-4258
Additional Information:© 2022 by International Press. Received 4 May 2018; Accepted 17 December 2018; Published 11 January 2022. The heart of this project was done during the Caltech’s Summer Undergraduate Research Fellowships (SURF) program in the summer of 2017. Y. N. was partially supported by NSF grant number DMS-1252992 and an Alfred P. Sloan Research Fellowship. F. V. was partially supported by an AMS-Simons Travel Grant. W. B. would like to thank William H. and Helen Lang, as well as Samuel P. and Frances Krown, for their generous support through the SURF program. T. O. would like to thank Joanna Wall Muir and Mr. James Muir for their generous support through the SURF program. We thank the referees for the thoughtful comments.
Funders:
Funding AgencyGrant Number
Caltech Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
NSFDMS-1252992
Alfred P. Sloan FoundationUNSPECIFIED
American Mathematical SocietyUNSPECIFIED
Simons FoundationUNSPECIFIED
Issue or Number:6
DOI:10.4310/CAG.2021.v29.n6.a1
Record Number:CaltechAUTHORS:20180308-070652999
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180308-070652999
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85188
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:08 Mar 2018 16:46
Last Modified:03 Feb 2022 19:09

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