CaltechAUTHORS
Published January 11, 2022 | Version Submitted
Journal Article Open

The prism manifold realization problem II

Creators

  • 1. ROR icon Princeton University
  • 2. ROR icon California Institute of Technology
  • 3. ROR icon The University of Texas at Austin
  • 4. ROR icon Duke University

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.

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.

Attached Files

Submitted - 1710.00089.pdf

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Additional details

Identifiers

Eprint ID
85188
DOI
10.4310/CAG.2021.v29.n6.a1
Resolver ID
CaltechAUTHORS:20180308-070652999

Related works

Describes
10.4310/CAG.2021.v29.n6.a1 (DOI)
https://arxiv.org/abs/1710.00089 (URL)

Funding

Caltech Summer Undergraduate Research Fellowship (SURF)
NSF
DMS-1252992
Alfred P. Sloan Foundation
American Mathematical Society
Simons Foundation

Dates

Created
2018-03-08
Created from EPrint's datestamp field
Updated
2022-02-03
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Mathematics Department